Suppose that 85% of the employees at a large company drink coffee daily. A manager takes a random sample of 15 employees.

a) Find the probability that all 15 employees drink coffee daily.

b) Find the probability that 10 of the 15 employees drink coffee daily.

c) Create the probability distribution of x. Report the probability distribution in table form and display it in a histogram.

d) From the probability distribution in part c), find the probability that at least 9 of the 15 employees drink coffee daily.

e) From the probability distribution in part c), find the probability that at most 7 of the 15 employees drink coffee daily.