2. It is believed that approximately 75% of American youth now have private health insurance due to the health care law. Suppose this is true, and let X equal the number of American youth in a random...

Extracted text: 2. It is believed that approximately 75% of American youth now have private health 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. Hint: You may want to use Excel. (c) Find the probability that X is at most 10. Hint: You may want to use Excel. (d) Find the probability that X is equal to 10. (e) Give the mean, variance, and standard deviation of X.