Question

Would greatly appreciate these questions be solved broken down in steps because these probability prblems are confusing me! Thanks!

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 0.19, 0.14, and 0.28, 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 B?

a) 0.4590

b) 0.2295

c) 0.2143

d) 0.1579

e) 0.3115

f) None of the above.

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Question 9

An experiment consists of choosing an urn with the following probabilities that Urn 1, Urn 2, or Urn 3 will be chosen: 1/2, 1/4, and 1/4, respectively. Urn 1 contains 10 brown marbles and 7 clear marbles. Urn 2 contains 15 brown marbles, 9 clear marbles and 8 red marbles. Urn 3 contains 11 brown marbles, 5 clear marbles and 13 red marbles.

A marble is then chosen from the chosen urn. What is the probability that Urn 3 was chosen, given that the marble chosen was clear?

a) 0.1724

b) 0.0575

c) 0.1350

d) 0.0431

e) 0.1992

f) None of the above.

Answer 1