Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 25 percent for University A and 40 percent for University B. Of the applicants with similar qualities, only 10 percent are accepted into both University A and University B. Is the acceptance decision at University A independent of the acceptance decision at University B?
A) Yes
B) No

Question

Quizplus · Accepted Answer

Yes, the two decisions are statistically independent. If the MBA acceptance decisions are independent at the two universities, then
P(Accepted at A) = P(Accepted at A given Rejected at B).
P(Accepted at A) = .25 = P(Accept at A | Reject at B)
=== .25

Joe Is Considering Pursuing an MBA Degree