It is believed that approximately 75% of American youth now have insurance due to the health care law. Suppose this is true, and let X equal the number of American youth in a random sample of n = 15 with private health insurance.
(a) How is X distributed?
(b) Find the probability that X is at least 10.
(c) Find the probability that X is at most 10.
(d) Find the probability that X is equal to 10.
(e) Give the mean, variance, and standard deviation of X.