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?

Using conditional probability, it is found that there is a 0.2143 = 21.43% probability that it came from distributor a.

Conditional Probability

In which

P(B|A) is the probability of event B happening, given that A happened. is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Defective.Event B: From distributor A.

The percentages of defectives are:

0.18 of 1/3(from distributor A).0.12 of 1/3(from distributor B)0.54 of 1/3(from distributor C).

Hence:

The probability of being defective and from distributor A is:

Hence, the conditional probability is:

0.2143 = 21.43% probability that it came from distributor a.

A similar problem is given at link

0.18 / (0.18 + 0.12 + 0.54) =
0.18 / 0.84 =
0.2143 <=

step-by-step explanation:

yes it is1. move over 2 points on the x-axis2. move over 2 points on the y-axis

Ask google i believe they can you with that question