A particular brand of dishwasher soap is sold in three sizes: 35 oz, 45 oz, and 70 02. Twenty percent of all purchasers select a 35-02 box, 50% select a 45-02 box, and the remaining 30% choose a 70-02 box. Let X1 and X2 denote the package sizes selected by two independently selected purchasers. (3) Determine the sampling distribution of )7. no?) Calculate E()_(). E()() = '02 Compare E0?) to [.1. T\": 5(7) = l1 0 E07) > #1 0 50?) < #1 (b) Determine the sampling distribution of the sample variance $2. p(sz) ' i ' Calculate E(SZ). 5(52) = i i Compare E(Sz) to 02. 0 5(52) < 02 0 5(52) > 02 C 5(52) = 02 Need Heln? WW