2a) Suppose Taylor Swift is at a theme park with 2 rides, A and B. She has time to go on a ride a total of 16 times. Assuming that every time she picks a ride, she chooses ride A with probability 0.392, what is the probability that she picks ride A 5 times? (Use the binomial distribution).(/1) b) Now solve the same question by using the normal approximation of the binomial distribution. (/3) 3) Suppose that a continuous random variable X has probability distribution given by: 2 f(x)= = e 674(2(3-4)12 52 Find P(3.375 < x < 5.875). (/2)