a. Explanation Urn A: Four red balls, three blue balls and two green balls Urn B: Two red balls, three blue balls and four white balls Define the variable: B 1 = { red ball drawn from urn A } B 2 = { blue ball drawn from urn A } B 3 = { green ball drawn from urn A } The total number of balls in urn A and urn B is 9. The probability of red ball is drawn from urn A is, P ( B 1 ) = 4 9 , the probability of blue ball is drawn from urn A is P ( B 2 ) = 3 9 and the probability of green ball is drawn from urn A is P ( B 3 ) = 2 9 . If the red ball is selected from urn A, then the number of red balls in urn B is 3 out of 10 balls. Therefore, P ( A | B 1 ) = 3 10 . If the blue ball is selected from urn A, then the number of red balls in urn B is 2 out of 10 balls. Therefore, P ( A | B 2 ) = 2 10 . If the green ball is selected from urn A, then the number of red balls in urn B is 2 out of 10 balls. Therefore,. P ( A | B 3 ) = 2 10 b. To determine Find the probability that a red ball is drawn from urn A if a red ball is drawn from urn B .

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ISBN: 9780100244702

Author: RICE

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It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

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When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …

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Chapter 1.8, Problem 47P

To determine

Find the probability that a red ball is drawn from urn B.

To determine

Find the probability that a red ball is drawn from urn A if a red ball is drawn from urn B.

Expert Solution & Answer

Chapter 1 Solutions

EBK MATHEMATICAL STATISTICS AND DATA AN

Ch. 1.8 - Prob. 1P Ch. 1.8 - Prob. 2P Ch. 1.8 - Prob. 3P Ch. 1.8 - Prob. 4P Ch. 1.8 - Prob. 5P Ch. 1.8 - Prob. 6P Ch. 1.8 - Prob. 7P Ch. 1.8 - Prob. 8P Ch. 1.8 - Prob. 9P Ch. 1.8 - Prob. 10P

Ch. 1.8 - Prob. 11P Ch. 1.8 - Prob. 12P Ch. 1.8 - Prob. 13P Ch. 1.8 - Prob. 14P Ch. 1.8 - Prob. 15P Ch. 1.8 - Prob. 16P Ch. 1.8 - Prob. 17P Ch. 1.8 - Prob. 18P Ch. 1.8 - Prob. 19P Ch. 1.8 - Prob. 20P Ch. 1.8 - Prob. 21P Ch. 1.8 - Prob. 22P Ch. 1.8 - Prob. 23P Ch. 1.8 - Prob. 24P Ch. 1.8 - Prob. 25P Ch. 1.8 - Prob. 26P Ch. 1.8 - Prob. 27P Ch. 1.8 - Prob. 28P Ch. 1.8 - Prob. 29P Ch. 1.8 - Prob. 30P Ch. 1.8 - Prob. 31P Ch. 1.8 - Prob. 32P Ch. 1.8 - Prob. 33P Ch. 1.8 - Prob. 34P Ch. 1.8 - Prob. 35P Ch. 1.8 - Prob. 36P Ch. 1.8 - Prob. 37P Ch. 1.8 - Prob. 38P Ch. 1.8 - Prob. 39P Ch. 1.8 - Prob. 40P Ch. 1.8 - Prob. 41P Ch. 1.8 - Prob. 42P Ch. 1.8 - Prob. 43P Ch. 1.8 - Prob. 44P Ch. 1.8 - Prob. 45P Ch. 1.8 - Prob. 46P Ch. 1.8 - Prob. 47P Ch. 1.8 - Prob. 48P Ch. 1.8 - Prob. 49P Ch. 1.8 - Prob. 50P Ch. 1.8 - Prob. 51P Ch. 1.8 - Prob. 52P Ch. 1.8 - Prob. 53P Ch. 1.8 - Prob. 54P Ch. 1.8 - Prob. 55P Ch. 1.8 - Prob. 56P Ch. 1.8 - Prob. 57P Ch. 1.8 - Prob. 59P Ch. 1.8 - Prob. 60P Ch. 1.8 - Prob. 61P Ch. 1.8 - Prob. 62P Ch. 1.8 - Prob. 63P Ch. 1.8 - Prob. 64P Ch. 1.8 - Prob. 65P Ch. 1.8 - Prob. 66P Ch. 1.8 - Prob. 67P Ch. 1.8 - Prob. 68P Ch. 1.8 - Prob. 69P Ch. 1.8 - Prob. 70P Ch. 1.8 - Prob. 71P Ch. 1.8 - Prob. 72P Ch. 1.8 - Prob. 73P Ch. 1.8 - Prob. 74P Ch. 1.8 - Prob. 75P Ch. 1.8 - Prob. 77P Ch. 1.8 - Prob. 78P Ch. 1.8 - Prob. 79P Ch. 1.8 - Prob. 80P

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Find the probability that a red ball is drawn from urn B.

Solution Summary: The author explains that the probability that a red ball is drawn from urn B is 0.244.

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Find the probability that a red ball is drawn from urn B.

Find the probability that a red ball is drawn from urn A if a red ball is drawn from urn B.

Chapter 1 Solutions