In 1998 a baseball player hit 67 home runs a new major leagu

In 1998, a baseball player hit 67 home runs, a new major league record. Was this feat as surprising as most of us thought? In the three seasons before 1998, this champion hit a home run in 0.118 of his times at bat. He went to bat 504 times in 1998. His home run count in 504 times at bat has approximately the binomial distribution with n = 504 and p = 0.118.

What is the mean number (