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Computing the-mean-of-a-discrete-probability-distribution-reporter-no.-2
- 1. WELCOM E COMPUTING THE MEANOF A DISCRETE PROBABILITY DISTRIBUTION prayer Getting ready exercis e teams services follow
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- 4. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activit y3 Activit y2 Activity 1 Number of Spots Grocer y Items Surger y Patient s
- 5. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 1 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Consider rolling a die, What is the average number of spots that would appear? The following Activity will help you answer this question.
- 6. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 1 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Step 1: Construct the probability distribution for the random variable X representing the number of spots that would appear.
- 7. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 1 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Steps Probability Step 1: Construct the probability distribution for the random variable X representing the number of spots that would appear. No. of Spots X Probability P(X) 1 1/6 2 1/6 3 1/6 4 1/6 5 1/6 6 1/6
- 8. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 1 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Step 2: Multiply the value of the random variable X by the corresponding probability.
- 9. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 1 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Steps Probability Step 2: Multiply the value of the random variable X by the correspon ding probabilit y. No. of Spots X Probability P(X) X • P(X) 1 1/6 1/6 2 1/6 2/6 3 1/6 3/6 4 1/6 4/6 5 1/6 5/6 6 1/6 6/6
- 10. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready timeline teams services follow Activity 1 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Step 3: Add the results obtained in Step 2.
- 11. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 1 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Steps Probability Step 3: Add the results obtain ed in Step 2. No. of Spots X Probability P(X) X • P(X) 1 1/6 1/6 2 1/6 2/6 3 1/6 3/6 4 1/6 4/6 5 1/6 5/6 6 1/6 6/6 𝑥•P(X)= 21 6 = 3.5
- 12. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 1 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. The value obtained in Step 3 is called the mean of the random variable X or the mean of the probability distribution X.
- 13. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 1 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. What does the mean tell us? The mean tells us the average no. of spots that would appear in a roll of a die. So, the average number of spots that
- 14. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 2 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. The probabilities that a customer will buy 1, 2, 3, 4, or 5 items in a grocery store are 𝟑 𝟏𝟎 , 𝟏 𝟏𝟎 , 𝟏 𝟏𝟎 , 𝟐 𝟏𝟎 , a𝒏𝒅 𝟑 𝟏𝟎 respectively. What is the average number of items
- 15. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 2 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Step 1: Construct the probability distribution for the random variable X representing the number of spots that would appear.
- 16. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 2 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Steps Probability Step 1: Construct the probability distribution for the random variable X representing the number of spots that would appear. No. of Spots X Probability P(X) 1 3/10 2 1/10 3 1/10 4 2/10 5 3/10
- 17. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 2 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Step 2: Multiply the value of the random variable X by the corresponding probability.
- 18. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 2 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Steps Probability Step 2: Multiply the value of the random variable X by the correspon ding probabilit y. No. of Spots X Probability P(X) X • P(X) 1 3/10 3/10 2 1/10 2/10 3 1/10 3/10 4 2/10 8/10 5 3/10 15/10
- 19. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 2 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Step 3: Add the results obtained in Step 2.
- 20. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 2 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Steps Probability Step 3: Add the results obtain ed in Step 2. No. of Spots X Probability P(X) X • P(X) 1 3/10 3/10 2 1/10 2/10 3 1/10 3/10 4 2/10 8/10 5 3/10 15/10 𝑥•P(X)= 31 10 = 3.1
- 21. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 2 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. So, the mean of the probability distribution is 3.1. This implies that the average no. of items that the customer will buy is 3.1.
- 22. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 3 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Step 2: Multiply the value of the random variable X by the corresponding probability.
- 23. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 3 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. The probabilities that a surgeon operates on 3, 4, 5, 6, or 7 patients in any day are 0.15, 0.10, 0.20, 0.25, and 0.30, respectively. Find the average number of patients that a surgeon
- 24. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 3 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Step 3: Add the results obtained in Step 2.
- 25. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 3 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Step 1: Construct the probability distribution for the random variable X representing the number of spots that would appear.
- 26. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 2 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Steps Probability Step 1: Construct the probability distribution for the random variable X representing the number of spots that would appear. No. of Spots X Probabilit y P(X) 3 0.15 4 0.10 5 0.20 6 0.25 7 0.30
- 27. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 3 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Steps Probability Step 2: Multiply the value of the random variable X by the correspon ding probabilit y. No. of Spots X Probabilit y P(X) X • P(X) 3 0.15 0.45 4 0.10 0.40 5 0.20 1.00 6 0.25 1.50 7 0.30 2.10
- 28. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 3 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. Steps Probability Step 3: Add the results obtain ed in Step 2. No. of Spots X Probability P(X) X • P(X) 3 0.15 0.45 4 0.10 0.40 5 0.20 1.00 6 0.25 1.50 7 0.30 2.10 𝑥•P(X)= 5.45
- 29. 2018 3 2014 2 2010 1 HEADING Here Add Some OwnText of Yours HEADING Here Add Some Own Text of Yours HEADING Here Add Some Own Text of Yours about Getting ready exercis e teams services follow Activity 3 Considerrollingadie,Whatistheaveragenumberofspots thatwouldappear?ThefollowingActivitywillhelpyou answerthisquestion. So, the average number of patients that a surgeon will operate in a day is 5.45.
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- 31. about history exercis e teams services follow A. Complete thetable below and find the mean of the following probability distribution. No. of Spots X Probability P(X) X • P(X) 1 1 7 6 1 7 11 3 7 16 1 7 21 1 7 1.
- 32. about history exercis e teams services follow A. Complete thetable below and find the mean of the following probability distribution. No. of Spots X Probability P(X) X • P(X) 1 1 7 1 7 6 1 7 6 7 11 3 7 33 7 16 1 7 16 7 21 1 7 21 7 𝑥•P(X)= 77 7 = 11 1.
- 33. about history exercis e teams services follow A. Complete thetable below and find the mean of the following probability distribution. No. of Spots X Probability P(X) X • P(X) 1 3 10 2 1 10 3 2 10 4 2 10 5 2 10 2.
- 34. about history exercis e teams services follow A. Complete thetable below and find the mean of the following probability distribution. No. of Spots X Probability P(X) X • P(X) 1 3 10 3 10 2 1 10 2 10 3 2 10 6 10 4 2 10 8 10 5 2 10 10 10 or 1 𝑥•P(X)= 29 10 = 2.9 2.
- 35. about history exercis e teams services follow A. Complete thetable below and find the mean of the following probability distribution. No. of Spots X Probability P(X) X • P(X) 3 0.15 6 0.35 8 0.40 10 0.10 3.
- 36. about history exercis e teams services follow A. Complete thetable below and find the mean of the following probability distribution. No. of Spots X Probability P(X) X • P(X) 3 0.15 0.45 6 0.35 2.1 8 0.40 3.2 10 0.10 1 𝑥•P(X)= 6.75 3.
- 37. about history exercis e teams services follow WOED PROBLEM: Theprobability of a machine manufacturing 0, 1, 2, 3, 4, or 5 defective parts in one day are 0.75, 0.17, 0.04, 0.25, 0.01 and 0.005, respectively. Find the mean of the probability distribution. No. of Spots X Probability P(X) X • P(X) 0 0.75 1 0.17 2 0.04 3 0.025 4 0.01 5 0.005
- 38. about history exercis e teams services follow WOED PROBLEM: Theprobability of a machine manufacturing 0, 1, 2, 3, 4, or 5 defective parts in one day are 0.75, 0.17, 0.04, 0.25, 0.01 and 0.005, respectively. Find the mean of the probability distribution. No. of Spots X Probability P(X) X • P(X) 0 0.75 0 1 0.17 0.17 2 0.04 0.08 3 0.025 0.075 4 0.01 0.04 5 0.005 0.025 𝑥•P(X)= 0.39
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