3. (10 points) Sixty-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. **You must show work discussed in class/video for full credit. Writing down only what you did on the calculator will not receive full credit. 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. 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 girl