Using historical records, a manufacturing firm has developed the following probability distribution for the number of days required to get components from its suppliers. The distribution is shown here, where the random variable x is the number of days.

x P(x)

2 0.15 3 0.45 4 0.30 5 0.075 6 0.025

a. What is the average lead time for the component?

b. What is the coefficient of variation for delivery lead time?

c. How might the manufacturing firm use this information?