Are Americans superstitious? A Harris (Feb. 2013) poll of over 2,000 adult Americans was designed to answer this question. One survey item concerned the phrase "see a penny, pick it up, all day long you’ll have good luck." The poll found that about 30 percent of Americans believe finding and picking up a penny is good luck. Consider a random sample of 20 U. S. adults and let x represent the number who believe finding and picking up a penny is good luck. This is a binomial random variable.

A) Find P(x<10)

B) Find P(x>5)

C) What is the expected number (the mean) who believe picking up a penny is good luck.