Team x
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Team X analyzed the game "Dirty D's", a dice game where the player rolls two dice and can win $10 for rolling a 2 or 12, $5 for rolling a 3, 4, 10 or 11, and loses their $3 bet on other rolls. The expected value of the game is $1.94 in profit for the house and -$1.06 expected loss for the player. Experimental results from 50 trials matched the theoretical probabilities closely. Improvements could include adjusting the payout amounts to better match the probabilities of each roll and lowering the $3 bet amount since the expected profit is almost $1 for the house.
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Game c
The document describes a coin flipping game where players pay $12 to flip a coin 3 times. Players earn $10 for each head and lose $2 for each tail. Based on theoretical probabilities, the expected value is $6 per game with a standard deviation of $3.40. An experiment with 50 players found the expected value to be $11.04 with a standard deviation of $7.56, indicating the $12 cost would result in around $1 profit per game, providing around a 10% profit margin.
Game gg
The document describes a game called Lucky Double Digits where players roll two dice and their winnings are determined by the sum. Theoretically, the expected value is $4.23 per game but the standard deviation is high at $6.65. A simulation of 50 games was conducted where the average payout was $6.08, meaning the house lost $1.08 on average per game. However, due to the law of large numbers, fluctuations in individual games would cancel out over many players. While modifications could give the house more advantage, it would likely decrease interest in the game. Therefore, the game would still be viable despite the house losing money in this simulation.
Game w
The game "7 and Up" involves picking a card from a deck of numbers 2-10 without replacement for $25. If the card is 7 or higher, the player wins $50. Theoretically, the expected payout is $22.22 and house advantage is $2.78. An experiment of 50 trials found an expected payout of $15.28 and house advantage of $9.72, higher than expected. Improvements could adjust the cost, winning number, or payout to attract more players while increasing the house advantage.
Game ff
Team FF is proposing a dice game where players buy in for $10. Rolling snake eyes (sum of 2) wins $125, tarantula eyes (sum of 12) wins $75, and butterfly eyes (sum of 4) wins $50. The expected value is $8.33 and standard deviation is $26.53. If doing the game again, the team would lower prize amounts and add more winning sums to improve chances of winning and catch more attention.
Id3,c4.5 algorithim
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This document discusses circular linked lists. It defines a circular linked list as a data structure where the last node's next pointer points to the first node, creating a circular connection between nodes. The document covers creating and implementing operations like insertion and deletion on circular linked lists. It notes advantages like easy traversal between first and last nodes and disadvantages like difficulty reversing the list. Examples of applications include round robin scheduling and chit funds.
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Game c
The document describes a coin flipping game where players pay $12 to flip a coin 3 times. Players earn $10 for each head and lose $2 for each tail. Based on theoretical probabilities, the expected value is $6 per game with a standard deviation of $3.40. An experiment with 50 players found the expected value to be $11.04 with a standard deviation of $7.56, indicating the $12 cost would result in around $1 profit per game, providing around a 10% profit margin.
Game gg
The document describes a game called Lucky Double Digits where players roll two dice and their winnings are determined by the sum. Theoretically, the expected value is $4.23 per game but the standard deviation is high at $6.65. A simulation of 50 games was conducted where the average payout was $6.08, meaning the house lost $1.08 on average per game. However, due to the law of large numbers, fluctuations in individual games would cancel out over many players. While modifications could give the house more advantage, it would likely decrease interest in the game. Therefore, the game would still be viable despite the house losing money in this simulation.
Game w
The game "7 and Up" involves picking a card from a deck of numbers 2-10 without replacement for $25. If the card is 7 or higher, the player wins $50. Theoretically, the expected payout is $22.22 and house advantage is $2.78. An experiment of 50 trials found an expected payout of $15.28 and house advantage of $9.72, higher than expected. Improvements could adjust the cost, winning number, or payout to attract more players while increasing the house advantage.
Game ff
Team FF is proposing a dice game where players buy in for $10. Rolling snake eyes (sum of 2) wins $125, tarantula eyes (sum of 12) wins $75, and butterfly eyes (sum of 4) wins $50. The expected value is $8.33 and standard deviation is $26.53. If doing the game again, the team would lower prize amounts and add more winning sums to improve chances of winning and catch more attention.
Id3,c4.5 algorithim
ID3, C4.5 :used to generate a decision tree developed by Ross Quinlan typically used in the machine learning and natural language processing domains, overview about these algorithms with illustrated examples
Team 10 Raul Estrada
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Team 10
This document discusses circular linked lists. It defines a circular linked list as a data structure where the last node's next pointer points to the first node, creating a circular connection between nodes. The document covers creating and implementing operations like insertion and deletion on circular linked lists. It notes advantages like easy traversal between first and last nodes and disadvantages like difficulty reversing the list. Examples of applications include round robin scheduling and chit funds.
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Game o
This document summarizes the rules and statistical analysis of a dice game where players pay $7 to roll two dice. If doubles are rolled, the player wins $0. Otherwise, they win the sum of the dice. Theoretical calculations estimate average winnings as $5.83 and standard deviation as $3.27. An experimental simulation of 50 rolls found average winnings of $7.56 and standard deviation of $4.93, meaning the house would lose money on average. To ensure profits, the authors recommend increasing the roll price to $8.
Game ee
1) The document describes a probability game where a player draws two ping pong balls with numbers 1-6 to calculate the difference and potential winnings.
2) Theoretical and experimental results were calculated, showing the expected mean of -$2.06 and standard deviation of 4.45 theoretically, and -$2.00 and 4.69 experimentally.
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Game mm
This document summarizes the rules of a dice game called Fifteen Team MM. Players pay $5 to roll three dice, and can win money depending on the roll total. Rolls of multiples of 5 (excluding 15) win $2, multiples of 3 win $0.25, and rolling an exact 15 wins $10. Theoretical probabilities and an experiment simulation are presented, showing the average loss per round is around $4.50 and the game favors the house. More trials could improve the accuracy of the results.
Game nn
The document describes a dice and coin flipping game where players pay a $6 entry fee. Players first roll a die - if it's odd they lose, if even they roll a second die and flip a coin to determine if they keep the difference or sum of the dice. Rolling double 6s and getting heads wins $20. The expected winnings are $2.49 theoretically and $2.56 experimentally, while the standard deviation is $3.37 theoretically and $3.14 experimentally, validating the $6 entry fee covers expected winnings and variability. The game could be improved by adding larger potential winnings but may require raising prices or chances of winning nothing.
Game h
The game costs $12 to play and involves rolling two dice. Players can win 6 times their bet by rolling certain numbers: a sum of 2 or 12 pays $72, 3 or 11 pays $45, and 4 or 10 returns the $12 bet. The team calculated the theoretical mean and standard deviation and found the experimental values were close, though slightly lower. They conclude the game could be improved by adjusting the money values.
Game j
This document describes a dice game where rolling a 2 or 12 wins $10, sums closer to 7 win less, and rolling a 7 wins $0. The objective is to roll a 2 or 12. A simulation was run to calculate the mean and standard deviation of winnings. The video at the given link shows an example. Suggested improvements include using standard dice and running more than 50 trials for the simulation.
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2) Los artistas manieristas se alejaron de la rigidez de los cánones clásicos en busca de elegancia formal, variedad y complejidad, generando formas dinámicas y descompensadas.
3) Miguel Ángel fue uno de los artistas más prolíficos de este período, expresándose creativamente en la escultura, pintura, arqu
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Similar to Team x
Game o
This document summarizes the rules and statistical analysis of a dice game where players pay $7 to roll two dice. If doubles are rolled, the player wins $0. Otherwise, they win the sum of the dice. Theoretical calculations estimate average winnings as $5.83 and standard deviation as $3.27. An experimental simulation of 50 rolls found average winnings of $7.56 and standard deviation of $4.93, meaning the house would lose money on average. To ensure profits, the authors recommend increasing the roll price to $8.
Game ee
1) The document describes a probability game where a player draws two ping pong balls with numbers 1-6 to calculate the difference and potential winnings.
2) Theoretical and experimental results were calculated, showing the expected mean of -$2.06 and standard deviation of 4.45 theoretically, and -$2.00 and 4.69 experimentally.
3) The results were close, indicating the actual outcomes did not significantly deviate from expected values. Increasing the number of balls and trials could improve accuracy of experimental values.
Game mm
This document summarizes the rules of a dice game called Fifteen Team MM. Players pay $5 to roll three dice, and can win money depending on the roll total. Rolls of multiples of 5 (excluding 15) win $2, multiples of 3 win $0.25, and rolling an exact 15 wins $10. Theoretical probabilities and an experiment simulation are presented, showing the average loss per round is around $4.50 and the game favors the house. More trials could improve the accuracy of the results.
Game nn
The document describes a dice and coin flipping game where players pay a $6 entry fee. Players first roll a die - if it's odd they lose, if even they roll a second die and flip a coin to determine if they keep the difference or sum of the dice. Rolling double 6s and getting heads wins $20. The expected winnings are $2.49 theoretically and $2.56 experimentally, while the standard deviation is $3.37 theoretically and $3.14 experimentally, validating the $6 entry fee covers expected winnings and variability. The game could be improved by adding larger potential winnings but may require raising prices or chances of winning nothing.
Game h
The game costs $12 to play and involves rolling two dice. Players can win 6 times their bet by rolling certain numbers: a sum of 2 or 12 pays $72, 3 or 11 pays $45, and 4 or 10 returns the $12 bet. The team calculated the theoretical mean and standard deviation and found the experimental values were close, though slightly lower. They conclude the game could be improved by adjusting the money values.
Game j
This document describes a dice game where rolling a 2 or 12 wins $10, sums closer to 7 win less, and rolling a 7 wins $0. The objective is to roll a 2 or 12. A simulation was run to calculate the mean and standard deviation of winnings. The video at the given link shows an example. Suggested improvements include using standard dice and running more than 50 trials for the simulation.
Game x
This document describes a dice game where the objective is to roll a sum of 2 or 12 to earn $12, or roll the same number on both dice excluding 1s and 6s to earn $6. Each round costs $4. Theoretical and experimental probabilities and outcomes are provided from 50 rounds of the game. The results matched theoretical predictions, with the law of large numbers evening out outcomes over many rounds. One suggestion is to make the game more interesting after many repetitive rolls.
Game m
This game costs $50 per roll and involves rolling two dice. Rolling a 3 or 11 pays $100, while rolling a 2 or 12 pays $500. Otherwise nothing is paid out. Theoretically, players can expect to lose $11 on average per roll due to a mean win of $38.89 and the $50 cost to play. However, experimental results from a trial of 50 rolls showed the casino losing $1,400 total due to higher than expected wins of $500. The high variance in potential prizes makes it difficult to improve the game.
Sol6
1) The document discusses a coin flipping game where the chance of winning different dollar amounts decreases exponentially (1/2 chance of $1, 1/4 chance of $2, etc.).
2) Calculating the expected value as an average over infinite games yields an infinite result, but in reality one cannot play infinitely many games.
3) For a finite number of games N, a reasonable expected minimum win is (log2N)/2 dollars per game, which increases to infinity as N approaches infinity. However, a true expected value is only defined in the limit as the number of games approaches infinity.
Sol6
1) The document discusses a coin flipping game where the chance of winning different dollar amounts decreases exponentially (1/2 chance of $1, 1/4 chance of $2, etc.).
2) Calculating the expected value as an average over infinite games yields an infinite result, but in reality one cannot play infinitely many games.
3) For a finite number of games N, a reasonable expected minimum win is (log2N)/2 dollars per game, which increases to infinity as N approaches infinity. However, a true expected value is only defined in the limit as the number of games approaches infinity.
Game nn
The document describes a dice and coin flipping game where players pay a $6 entry fee. Players first roll a die and are eliminated with an odd number, while an even number allows a second die roll followed by a coin flip to determine the payout based on the dice values. Analysis found the expected winnings are $2.49 with a standard deviation of $3.37, and experimental results matched this closely. The $6 fee covers the predicted values and allows for a fair game.
The skins game tournament b&w version modified
The document describes the rules and format for a Skins Game Tournament. It is played in a foursome with the lowest net score on each hole winning a skin. Skins can carry over if there is a tie. Holes are worth increasing amounts of money. Players can choose to play scratch or off the lowest handicap in the group. Balls can be placed within one club length of the original lie except on the putting green. Scorecards must be signed and scores posted after the round.
Game hh
This document summarizes the rules and results of a new casino game called "Take A Chance." Players pay $25 to roll two dice, and can win $55 for rolling doubles, $40 for a sum of 7, or $125 for a sum of 3, otherwise they lose. Theoretical analysis found an expected loss of $2.22 per game, while experimental results showed a higher expected loss of $3.90 per game and greater variability in outcomes, demonstrating an advantage for the casino.
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Bts night (cp p robstat)
Mr. Evans teaches Introduction to Probability and Statistics. He has over 17 years of teaching experience and various teaching awards. In his class, students study models, functions, permutations, the binomial theorem, inequalities, linear relationships, probability, and statistics. Homework is assigned daily and checked for completion. Grades are based on tests, quizzes, homework, and projects. Mr. Evans encourages an interactive classroom where students work in pairs and groups.
Ap stats bts(2nd semester)
Mr. Evans teaches AP Statistics. He has over 17 years of teaching experience and advanced degrees in mathematics and education. The goals of the course are to complete the syllabus, encourage statistical thinking, and promote further study in related fields. The AP exam consists of multiple choice and free response questions and will be on May 11. The course, which satisfies college statistics requirements, focuses on chapters 7-12 and exam preparation. Past students have achieved high pass rates, with over 30% scoring a 5 on the exam. Homework is assigned regularly and grades are based on tests, quizzes, projects, and classwork. Mr. Evans aims to make the course interactive through group work and sees statistics as an engaging subject.
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Mr. Evans teaches Calculus at H-H High School. He has a B.S. in Mathematics from UT Austin and an M.S. in Education from Wilkes University. He has been teaching at H-H for 15 years. His classes focus on functions, polynomials, continuity, derivatives, integration, and related rates. He provides examples like minimizing the material in a cylindrical can. His homework policy requires a best effort attempt for partial credit. Grades are based on homework, classwork, tests, and quizzes. Students can retake tests for full credit by demonstrating practice of the material. His teaching style is interactive with participation, demonstrations, and group work to make math engaging.
Group c
1) The document outlines an experiment to test the effects of different genres of music (classic rock, country, classical) on the aggression levels of lions.
2) Lions will be captured from different regions of Africa and tested individually in an enclosure. Their aggression levels will be rated on a scale before and after exposure to one song from a randomly assigned music genre.
3) The results will be analyzed separately for male and female lions, with the goal of determining whether music reduces aggression and, if so, which genre is most effective. Blocking and blinding techniques will be used to control for bias.
Grou qq
The document describes a proposed experiment to study the effects of waiting different lengths of time after eating before swimming. It would involve 300 volunteers randomized into age groups and waiting times of 15, 30, or 60 minutes after eating before swimming. The response variable measured would be whether the volunteers get sick or experience cramps. Controls, randomization, and replication are used to reduce bias and variability. Factors like allergies, swimming style, and pain tolerance could also influence the results.
Group n
The document describes an experiment to test if toads cause warts by randomly selecting people and rubbing real toads and placebo toads on their left and right arms. The experiment incorporates a control group by using a real toad on one arm and synthetic toad on the other, and blinds subjects to reduce bias while randomizing treatments between arms.
Group L
This document describes a study designed to determine if eating before swimming causes cramps in children ages 6-10. The study uses a matched pairs experimental design. It will involve 3,500 students from 7 elementary schools, with 500 kids selected from each school evenly distributed across grades 1-5. The kids will be blocked by grade and gender then randomly assigned to eat a cheeseburger or have no food before a hour of swimming. They will record if they experience cramps. The experiment will be repeated with each child receiving both treatments on different days to directly compare the effects of eating vs not eating before swimming. Concerns about differences in activity levels, swimming ability, metabolism and pain tolerance between children are noted.
Group dd
This study aims to determine if sugar makes kids hyper by testing 200 children ages 5-12. The children will be randomly assigned to receive either a beverage with 10 teaspoons of sugar or a sugar-free drink. Trained professionals will rate the children's hyperactivity levels before and after consumption. In a randomized block design, 50 boys and 50 girls will be split into two groups, with one group receiving sugar the first week and the other receiving it the second week, to control for gender differences and avoid carryover effects. The study employs double-blinding by not revealing to children or evaluators which treatment was received. Results will be analyzed to see if sugar increases hyperactivity ratings.
Group q
This document outlines an experiment to test the "5 second rule" by dropping different types of food (grapes, carrots, chicken) onto either a hardwood or carpeted floor from 1 foot above. The food will be randomly assigned to the floor types and tested for bacteria compared to a control group of undropped food. There will be 50 pieces of each food split into two groups of 25 to be dropped, with one group going on hardwood and the other on carpet. The experiment aims to see if the floor type affects the amount of dirt or bacteria picked up by the food within 5 seconds of being dropped.
Group pp
This document outlines an experimental design to test if oat bran reduces cholesterol. 1000 volunteers will be randomly assigned to eat either real oat bran or a placebo daily for 3 months. Their cholesterol levels will be measured before and after to see if those eating real oat bran experience greater reductions. Variables like diet, exercise, and medications will be controlled to isolate the effect of oat bran. Statistical analysis will compare cholesterol changes between the two groups and identify any trends in the data. The goal is to determine conclusively if oat bran lowers cholesterol when confounding variables are controlled.
Group p
This study aims to test the hypothesis that shaving hair causes it to grow back thicker. It will involve 150 volunteers divided into two age groups. Volunteers will be randomly assigned to shave their arms and legs once, shave twice, or not shave at all. Hair thickness will be measured before and after using cluster samples. Blocking volunteers by age controls for natural differences in hair growth. The results will show if shaving leads to higher hair concentration when it regrows. Possible errors include volunteers not properly following the shaving treatment.
Group oo
The document describes a proposed experiment to test whether spicy foods cause ulcers. It would involve randomly assigning 600,000 volunteers to eat either spicy or non-spicy meals for 3 months. The volunteers would be blocked into groups by race (Asian, African American, Caucasian) to see if race impacts results. After 3 months, each person would be checked for ulcers. The experiment aims to control for factors like race through blocking and uses random assignment and a large sample size for replication. However, it cannot fully account for individual ulcer risks or ensure participants follow their assigned diets.
Group o
This study examines whether eating oat bran reduces cholesterol levels. It involves 100 American males aged 30-70, split into groups of 50 with high cholesterol and 50 with healthy levels. The men are randomly assigned to eat either meals with 3 servings of oat bran per day or meals with 0 servings for two weeks. Their cholesterol is measured after two weeks and two months later after switching diets. The study uses blocking by separating the groups and blinding by not informing subjects about the oat bran to reduce bias in results. A concern is other lifestyle factors may affect cholesterol without the researchers' knowledge.
Group nn
The document describes an experiment to test if toads cause warts. It involves dividing 300 young people who have never had warts into 3 groups. Group 1 would hold toads for 5 minutes, Group 2 for 3 minutes, and Group 3 would not touch toads. The presence of warts after the experiment would be the response variable. Random assignment, blocking by gender, and blinding the participants about the real purpose would help make the experiment more reliable. However, concerns include upsetting participants if they develop warts, and difficulty finding people willing to hold toads. The conclusion is that this experimental design does not support the theory that toads cause warts, as no warts appeared in any participants.
Group mm
The document describes an experiment to test whether M&Ms melt in the mouth or in the hand. Sixty student volunteers will hold 5 M&Ms in their open hand or closed mouth for 30, 60, or 90 seconds. The M&Ms will then be examined to see if any color remains, indicating melting. Students are randomly assigned to time groups to block for potential time effects. The experiment aims to see if M&Ms melt differently in the hand versus mouth.
Group m
This document outlines a proposed experiment to test whether eating chocolate causes acne. The experiment would involve 5000 teenage volunteers between ages 13-19, with 2500 males and 2500 females. Participants would be randomly assigned to eat either real chocolate or a placebo chocolate daily for 30 days. Before and after the trial, evaluators would rank each participant's acne severity from 1 to 10. The results would be analyzed by comparing acne rankings before and after to determine if real chocolate caused more acne than the placebo. If real chocolate resulted in significantly worse acne, it would indicate chocolate does cause acne.
Group ll
This document outlines an experiment to test if eating an apple a day keeps the doctor away. It involves randomly assigning 2000 participants (1000 males and 1000 females) to either eat one apple or a placebo apple per day for a year. The number of doctor visits each participant has will be recorded and compared between the apple-eating and placebo groups. Blocking by gender and double blinding both participants and evaluators aims to get a clear result on the effect of daily apple consumption while limiting bias. Concerns include difficulty finding and following all participants for a year and creating a believable placebo apple.
Group kk
This document outlines a proposed experiment to study whether cell phones cause brain tumors. It would involve randomly assigning 10,000 cell phone users to use either an antenna phone (treatment) or smartphone (control) for two years. The response variable would be development of brain tumors, which would be compared between the two groups. Key elements of the design include using a control group, random assignment, a large sample size, and blocking by gender and age to reduce other influences. However, concerns are raised about the ethics of potentially causing brain tumors in subjects.
Group k
The document describes an experiment to test if eating carrots affects vision. Participants will be randomly assigned to either a control group or experimental group. The experimental group will consume a daily diet with 1 cup of carrots added, while the control group's diet will not include carrots. Both groups will undergo eye exams before and after following their assigned diets for 30 days. The purpose is to see if carrot consumption results in any changes in vision between the initial and final eye exams.
Group jj
1. The study aimed to test if eating carrots improved eyesight over 5 years by having 1000 volunteers (500 males and 500 females split into age groups) eat carrots or not eat carrots daily and comparing their vision prescriptions before and after.
2. Volunteers were randomly assigned to eat carrots or not within their age and gender group to reduce bias.
3. An evaluator who did not know which volunteers ate carrots tested their vision after 5 years to maintain blinding.
4. The results may show improved eyesight in those who ate carrots if confounding variables like inconsistent carrots or eye injuries are controlled for.
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Team x
- 1. Team X
- 2. Dirty D’s
- 3. Rules • Start with 2 six-sided dice, numbered 1-6. Subject pays $3 to play the game. Have subject roll both dice simultaneously and add results to obtain the total. If the sum totals to either 2 or 12, $10 is rewarded to the subject. If the sum totals to 3, 4, 10 or 11, the subject is rewarded $5. All other sums are not rewarded. This game is played on a “dirty” Craps table
- 4. Expected Value/Standard Deviation • Expected Value: $1.94 • Expected Profit (for subject): -$1.06 • Expected Profit (for us): +$1.06 • Variance: $8.72 • Standard Deviation: $2.95
- 5. Game Results • Theoretical • Experimental (50 trials) – P(X=2,12)=.056 – P(X=2,12)=.10 – P(X=3,4,10,11)=.167 – P(X=3,4,10,11)=.167 – P(X≠2,3,4,10,11,12)=.777 – P(X≠2,3,4,10,11,12)=.777 The Experimental results are close if not the same as the theoretical probabilities which means our experiment exemplifies what we would expect as results. Improvements we could seek is a different wage scale that would be a better representation of the probabilities. The player earns $5 for rolling a sum of 3,4,10, or 11 when we should have different totals for the outcomes since 3 and 11 have the same probability and 4 and 10 have the same probability. If we improved upon this our game will have better justified wage values which in essence will improve our game as a whole. We could also possibly change the amount necessary to play because the expected profit is almost a $1 which is probably too much for someone to want to take a chance and pay.