SOLUTION: The pass rate in a statistics test for a class of MBA students is 65%. If five students are randomly selected from the class, determine the probability that at least two students p
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Question 1127172: The pass rate in a statistics test for a class of MBA students is 65%. If five students are randomly selected from the class, determine the probability that at least two students passed the test Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Find probability one did and none did and subtract from 1
probability none did was .35^5 or 0.0053
probability one did was 5*.35^4*.65, since there are 5 ways it can happen, and that is 0.0488
Their sum is 0.0541
The probability at least two passed is 1-0.0541 or 0.9459.
Expected value is .65*5 or 3.25, with sd of sqrt( 3.25*.35) or 1.07, so this answer is reasonable.
