A particular brand of dishwasher soap is sold in three sizes: 30 oz, 40 oz, and 60 oz. Twenty percent of all purchasers select a 30-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 30 35 40 45 50 60 P(x) Calculate E(X). E(X) = Compare E(X) to μ. O E(X) = μ O E(X) > H Ο Ε(Χ) < με (b) Determine the sampling distribution of the sample variance S². 0 50 200 s² p(s²) Calculate E(S²). E(S²) = Compare E(S2) to σ². O E(S²) > 0² O E(S²) = 0² O E(S²) < 0² oz 450

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A: NOTE: Refresh your page if you can't see any equations. .

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