6. Suppose that a manufacturer buys approximately 60 percent of a raw material(in boxes) from Supplier 1, 30 percent from Supplier 2, and 10 percent fromSupplier 3 (these are the prior probabilities). Far each supplier, delective ratesare as follows: Supplier 1: 0.01, Supplier 2: 0.02, and Supplier 3: 0.03. Supposethat the manufacturer observes a defective box of raw material.a) What is the probability that it came from Supplier 2?b) What is the probability that the defective did not come from Supplier 3?

Let us define some events A : a box is from supplier 1. B : a box is from supplier 2. C : a box is…

Answered: What is the probability that it came…

What is the probability that it came from Supplier 2? What is the probability that the defective did not come fram Supplier 3?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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Question

6. Suppose that a manufacturer buys approximately 60 percent of a raw material
(in boxes) from Supplier 1, 30 percent from Supplier 2, and 10 percent from
Supplier 3 (these are the prior probabilities). Far each supplier, delective rates
are as follows: Supplier 1: 0.01, Supplier 2: 0.02, and Supplier 3: 0.03. Suppose
that the manufacturer observes a defective box of raw material.
a) What is the probability that it came from Supplier 2?
b) What is the probability that the defective did not come from Supplier 3?

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