Babe Ruth, known as The Sultan of Swat, is often referred to as the greatest baseball player of all time. Ruth was known for hitting home runs. He had a career home run percent of 8.5%. Design an appropriate probability model, and then calculate (a) the expected number of at bats to hit a homerun and (b) the probability that Ruth goes more than 15 at bats in a row without a home run.

Babe Ruth, known as The Sultan of Swat, is often referred to as the greatest baseball player of all time. Ruth was known for hitting home runs. He had a career home run percent of 8.5%. Design an appropriate probability model, and then calculate (a) the expected number of at bats to hit a homerun and (b) the probability that Ruth goes more than 15 at bats in a row without a home run.