Discussion:
Q: In 1998, Mark McGwire of the St. Louis cardinals hit 70 home runs, a new Major League record. Was this feat as surprising as most of us thought/ In the three seasons before 1998, McGwire hit a home run in 11.6% of his times at bat. He went to bat 509 times in 1998. If he continues his past performance, McQwire's home run count in 509 times at bat has approximately the binomial distribution with n = 509 and p = 0.116.
a) What is the mean number of home runs McQwire will hit in 509 times at bat?
b) What is the probability that he hits 70 or more home runs?
c) How does the probability that p falls within 0.01 of the true p change as p gets closer to 0?