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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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?
Transcribed Image Text: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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