Applied 40S March 3, 2009

Uploaded on

More on simulations and introduction to Pascal's Triangle.

More on simulations and introduction to Pascal's Triangle.

More in: Education , Technology
  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Be the first to comment
    Be the first to like this
No Downloads


Total Views
On Slideshare
From Embeds
Number of Embeds



Embeds 0

No embeds

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

    No notes for slide


  • 1. Multiple Guess, How Many Phone Numbers, and The Fundamental Principle of Counting Numbers by flickr user Chaval Brasil
  • 2. Binomial Experiments & Probability Simulating Binomial Experiments: randBin(# of trials, prob. of success, # of simulations) What is the probability of getting exactly 2 heads when fliping 3 coins 40 times? You'll need to know the the theoretical probability of this result is 3/8. Here is how to do the experiment on your calculator. Step Action 1. Press [Math] button on TI83 calculator. 2. Select [Prob]. 3. Select [randBin] (random binomial experiment). 4. Type in (1, 3/8, 40) . little predator 1 represents the outcome for success (failure is 0). 3/8 represents the theoretical probability of success. 40 represents number of times the experiment is repeated. 5. Press enter and a result will show in row. 6. Press [STO] [2nd] [L1] to store the results in List 1. 7. Press [2nd] [STAT]. 8. Select [MATH] [Sum] [2nd] [L1] to find the sum of all the values in List 1. 9. Since quot;success = 1quot; and quot;failure = 0quot; this sum represents the number of successes. You can also use this website:
  • 3. Design an experiment using coins to simulate a 10 question true/ false test. What is the experimental probability of scoring at least HOMEWORK 70% on the test if you guess each answer?
  • 4. HOMEWORK Design an experiment to determine the probability of passing a six- question multiple choice test if you guess all the answers. Each question has four answers, and one answer is correct in each case. How many simulations would seem reasonable? What is the experimental probability of getting at least 50% on the test?
  • 5. Pascal's Triangle How many different patterns can you find in the triangle?