SOLUTION: 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 ac

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Question 850328: 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. She applies to 10 colleges. (2 points)
What is the expected value and variance for the random variable “number of acceptances”?



Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Let X be a random variable that represents the number of acceptances.
X is a binomial with n = 10 and p = 0.70
E[X] = n%2Ap+=+10%2A.70+=+highlight%287%29
Var[X] = sqrt%28npq%29+=+sqrt%2810%2A.70%2A.30%29+=+sqrt%282.1%29+=+highlight%281.45%29