A particular brand of dishwasher soap is sold in three sizes: 35 oz, 40 oz, and 60 oz. Twenty percent of all purchasers select a 35-oz box, 50% select a 40-oz box, and the remaining 30% choose a 60-oz box. Let X1 and X2 denote the package sizes selected by two independently selected purchasers. a. Determine the sampling distribution of X
x 35 40 45 50 55 65
p(x)

b. Calculate E(X).

c. Determine the sampling distribution of the sample variance S^2.
S^2 0 50 200 450
p(s^2)

d. Calculate E(S^2).