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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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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