A particular brand of dishwasher soap is sold in

three sizes: 25 oz, 40 oz, and 65 oz. Twenty

percent of all purchasers select a 25-oz box, 50%

select a 40-oz box, and the remaining 30% choose

a 65-oz box. Let X1 and X2 denote the package

sizes selected by two independently selected purchasers.

a. Determine the sampling distribution of X, calculate

E(X), and compare to m.