5. Suppose that 35% of a certain species of deer in west Michigan are known to have chronic wasting disease (CWD). Consider a random sample of 15 deer of this species, and let the random variable X = the number (out of these 15) that have CWD.

(a) Does X have a binomial probability distribution? Why or why not?

(b) Assume X has a binomial distribution. Determine the probability that between 5 and 10 (inclusive) deer have CWD.

(c) Assume X has a binomial distribution. Determine the probability that a majority of the sample (8 or more) have CWD.

(d) Assume X has a binomial distribution. Determine the population mean and standard deviation of X.