Mina has applied for a job with Facebook As part of the hiri

Mina has applied for a job with Facebook. As part of the hiring process, Facebook will of course look at her grade in BUS 190 at SJSU. If Mina gets an A, theres a 65% chance that Facebook will hire her. But if she does not get an A, theres only a 10% chance that they will hire her. Theres an 80% chance that Mina will get an A in BUS 190. 3.2.a (0.5 pt) What is the probability that Facebook will hire Mina? 3.2.b (0.5 pt) It turns out that Facebook does hire Mina. What is the probability that she got an A in BUS 190?

Solution

A)

P(hire) = P(A) P(hire|A) + P(not A) P(hire|not A)

= 0.80(0.65) + (1-0.80)(0.10)

P(hire) = 0.54 [ANSWER]

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B)

P(A|hire) = P(A and hire) / P(hire)

As P(A and hire) = P(A) P(hire|A),

P(A|hire) = [P(A) P(hire|A)] / P(hire)

= (0.80)(0.65) / (0.54)

= 0.96296 [ANSWER]