Question 270422: Maggie is applying to college. There are only two outcomes for each application. It is either accepted or rejected. Each application she sends has a 0.70 probability of being accepted. If Maggie applies to 10 colleges, what is the probability that more than 8 of the applications will be accepted? What is the expected value for "number of acceptances?"
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Maggie is applying to college. There are only two outcomes for each application. It is either accepted or rejected.
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Each application she sends has a 0.70 probability of being accepted.
If Maggie applies to 10 colleges, what is the probability that more than 8 of the applications will be accepted?
Binomial Problem with n= 10 ; p = 0.7
P(8 < x <=10) = 1 - binomcdf(10,0.7,8) = 0.1493
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What is the expected value for "number of acceptances?"
E(x) = np = 10*0.7 = 7
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Cheers,
Stan H.
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