Question: Question 3:

A small flower shop takes orders by phone and then one of the staff florists is assigned to prepare the arrangement. The time it takes to process phone orders is normally distributed with a mean of 6 minutes and a standard deviation of 2.5 minutes. The time it takes for an arrangement to be completed is normally distributed with a mean of 35 minutes and a standard deviation of 8.6 minutes.

a) Find the mean of the total time needed to process a phone order and complete the floral arrangement at this flower shop.

b) Find the variance of the total time needed to process a phone order and complete the floral arrangement at this flower shop.

c) What is the probability that it will take more than 50 minutes to process a phone order and complete the floral arrangement at this flower shop?