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# Bowl B1 contains two white chips, bowl B2 contains two red ISBN: 9780321923271 41

## Solution for problem 1E Chapter 1.5

Probability and Statistical Inference | 9th Edition

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Problem 1E

PROBLEM 1E

Bowl B1 contains two white chips, bowl B2 contains two red chips, bowl B3 contains two white and two red chips, and bowl B4 contains three white chips and one red chip. The probabilities of selecting bowl B1, B2, B3, or B4 are 1/2, 1/4, 1/8, and 1/8, respectively. A bowl is selected using these probabilities and a chip is then drawn at random. Find

(a) P(W), the probability of drawing a white chip.

(b) P(B1 |W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.

Step-by-Step Solution:

Answer

Step 1 of 3

P(B1)=½, w=2

P(B2)=¼, R=2

P(B3)=⅛ ,W=2, R=2

P(B4)=⅛, W=3, R=1

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321923271

Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. Since the solution to 1E from 1.5 chapter was answered, more than 617 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 1E from chapter: 1.5 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. This full solution covers the following key subjects: bowl, white, chips, ChIp, contains. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. The answer to “Bowl B1 contains two white chips, bowl B2 contains two red chips, bowl B3 contains two white and two red chips, and bowl B4 contains three white chips and one red chip. The probabilities of selecting bowl B1, B2, B3, or B4 are 1/2, 1/4, 1/8, and 1/8, respectively. A bowl is selected using these probabilities and a chip is then drawn at random. Find(a) P(W), the probability of drawing a white chip.(b) P(B1 |W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.” is broken down into a number of easy to follow steps, and 91 words.

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Bowl B1 contains two white chips, bowl B2 contains two red