King Mattress purchases Sleep-n-Air mattresses from three different distributors.  The probability of getting a defective mattress from Distributor A, B, or C is 0.18, 0.12, and 0.54, respectively.  Assume an equal probability of making a purchase from each distributor A, B, or C.  If King Mattress sells a defective mattress, what is the probability that it came from Distributor A?

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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King Mattress purchases Sleep-n-Air mattresses from three different distributors.  The probability of getting a defective mattress from Distributor A, B, or C is 0.18, 0.12, and 0.54, respectively.  Assume an equal probability of making a purchase from each distributor A, B, or C.  If King Mattress sells a defective mattress, what is the probability that it came from Distributor A?

A) 0.2500

B) 0.1667

C) 0.1429

D) 0.6429

E) 

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