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...

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.