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.