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       Maggie is applying to college. There are only two outcomes for each application. It is...

       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. (6 points) (this is a binomial distribution)

What is the expected value and variance for the random variable “number of acceptances”?

What is the probability that she will be accepted to 3 colleges?  

What is the probability she will be accepted to 8 or more colleges?

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