1. Let X be a binomial random variable. Use the formula to compute the following probabilities: (a) P(X=2), if n= 8 and p = 0.1 (b) P(X= 5), if n= 9 and p= 0.5 (c) P(X= 9), if n= 10 and p = 0.95 2. Given a binomial random variable X with n = 25 and p = 0.6, find the following probabilities: (a) P(X 10) (b) P(X 12) (c) P(X = 15) 3. The number of calls received by a switchboard operator between 9 and 10 a.m. has a Poisson distribution with a mean of 12. Find the probability that the operator received at least five calls during the following periods: (a) Between 9 and 10 a.m. (b) Between 9 and 9:30 a.m. (c) Between 9 and 9:15 a.m