Suppose the number, x, of a company’s employees who are absent on Mondays has (approximately) a Poisson probability distribution. Furthermore, assume that the average number of Monday absentees is 2.6.

a. Find the mean and standard deviation of x, the number of employees absent on Monday.

b. Use Minitab to find the probability that exactly five employees are absent on a given Monday.

c. Use Minitab to find the probability that fewer than two employees are absent on a given Monday.

d. Use Minitab to find the probability that more than five employees are absent on a given Monday.