The Washington State study reported that each year during the 5-year period 2009-2013 the cancer rate in the state of Washington was 23.6 per 100,000 for people 6-24 years of age. During the period 2009-2013, each year 117,000 people 6 to 24 years of age played in the Washington Youth Soccer Association, with the vast majority playing on crumb rubber synthetic fields Use the Poisson distribution to answer the following questions.
Question 1. If soccer players age 6-24 in Washington State have the same rate of cancer as all people age 6-24 in Washington State, what is the expected number of cancer cases each year among the 117,000 soccer players? (Use 1 decimal place).
Question 2. In the years 2009-2013 there was an average of 37 cancer cases per year among the 117,000 Washington State soccer players age 6-24. If soccer players age 6-24 in Washington State have the same rate of cancer as all people age 6-24 in Washington State, what is the probability of 37 or more cancer cases in 1 year among the soccer players? (Use 2 decimal places)