SOLUTION: us news and world reports ranking of Americas best graduate schools of business showed Harvard and Standford in a tie for first place. In addition, 7 of the top 10 graduate school

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Question 862596: us news and world reports ranking of Americas best graduate schools of business showed Harvard and Standford in a tie for first place. In addition, 7 of the top 10 graduate schools of business showed strudents with an average undergraduate gpa of 3.5 of higher. suppose that we randomly select 2 of the top 10 graduate schools of business.
A- what is the probability that exactly one school has students with an average undergraduate gpa of 3.5 or higher?
B- what is the probability that both schools have students with an average undergraduate gpa of 3.5 of higher?
C- what is the probability that neither school has students with an average undergraduate gpa of 3.5 or higher?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
randomly select 2 of the top 10 graduate schools of business.
p( > 3.5gpa) = .7, n = 2
2 chosen
A- P( exactly one school has students with an average undergraduate gpa > 3.5)
= P+%281%29=+highlight_green%282C1%29%28p%5Ex%29%28q%29%5E%28n-x%29+ 2%28.7%2A.3%29= .42
B- P( exactly both school have students with an average undergraduate gpa > 3.5) = .7*.7 = .49
C- P( neither school has students with an average undergraduate gpa > 3.5) = 1 - .49= .51