According to a study performed by the NCAA, the average rate of injuries occurring in collegiate women’s soccer is 8.6 per 1000 participants (www.fastsports.com/tips/tip12/).
a. Using the Poisson formula, find the probability that the number of injuries in a sample of 1000 women’s soccer participants is
i. Exactly 12
ii. Exactly 5
b. Using the Poisson probabilities table, find the probability that the number of injuries in a sample of 1000 women’s soccer participants is
i. More than 3
ii. Less than 10
iii. 8 to 13