A grocery supplier has two potato fields, A and B, growing the same kind of potato. However the field A produces potato with proportion of 0=3% of potatoes that are rotten inside, while field B produces 0=6% of rotten potatoes. The grocery manager asked the supplier to deliver potato from field A. The delivery arrived. The manager is bayesian and based on her prior experience with the supplier, she believes that the probability of the delivery being from field A (i.e. that the supplier is honest) is 40%. While the supplier hasn't left yet, the manager quickly checks 18 potatoes and discovers x = 2 of them to be rotten. Find the posterior probability P(0 = 0.03 | x = 2) that the potato comes from the field A, after finding 2 rotten potatoes in the sample. 0.065 0.113 0.64 0.251 0.216

A grocery supplier has two potato fields, A and B, growing the same kind of potato. However the field A produces potato with proportion of 0=3% of potatoes that are rotten inside, while field B produces 0=6% of rotten potatoes. The grocery manager asked the supplier to deliver potato from field A. The delivery arrived. The manager is bayesian and based on her prior experience with the supplier, she believes that the probability of the delivery being from field A (i.e. that the supplier is honest) is 40%. While the supplier hasn't left yet, the manager quickly checks 18 potatoes and discovers x = 2 of them to be rotten. Find the posterior probability P(0 = 0.03 | x = 2) that the potato comes from the field A, after finding 2 rotten potatoes in the sample. 0.065 0.113 0.64 0.251 0.216

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.CR: Chapter 12 Review

Problem 14CR

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