(10 points) Forty-percent of teenage girls surveyed said Taylor Swift is their favorite singer. If we randomly select 10 teenage girls, find the following probabilities. Assume all binomial conditions are met. a) (3 points) Find the probability that exactly 5 of them say Taylor Swift is their favorite singer. b) (3 points) Find the probability fewer than 5 of them say Taylor Swift is their favorite singer. (part c on the next page) 4 c) (4 points) Find the mean and standard deviation for number of teenage girls who say Taylor Swift is their favorite singer if we were to survey 50 teenage girls.

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