Wooden boxes are commonly used for the packaging and transportation of mangoes. A convenience store in Morganville, New Jersey, regularly buys mangoes from a wholesale dealer. For every shipment, the manager randomly inspects five mangoes from a box containing 20 mangoes for damages due to transportation.

Suppose the chosen box contains exactly 2 damaged mangoes.

a. W hat is the probability that one out of five mangoes used in the inspection are damaged?

b. If the manager decides to reject the shipment if one or more mangoes are dam ­

aged, what is the probability that the shipment will be rejected?

c. Calculate the expected value, variance, and standard deviation of the number of damaged mangoes used in the inspection. L05