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Canadians who visit the United States often buy liquor and cigarettes, which are much cheaper in the United States. However,

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Answer #1

A)

P(0 Bottles) = 0.61 + 0.07 = 0.68

P(1 Bottle) = 0.17 + 0.15 = 0.32

B)

P(0 Cartons) = 0.61 + 0.17 = 0.78

P(1 Carton) = 0.07 + 0.15 = 0.22

C)

For Bottle of liquor:

X P(X) X.P(X) X².P(X)
0 0.68 0 0
1 0.32 0.32 0.32
Total 1 0.32 0.32

Mean, μ = Ʃ[X.P(X)] = 0.32

Variance, σ² = Ʃ(X².P(X)) - μ² = 0.32 - 0.32² = 0.2176

D)

For cigarette cartons:

X P(X) X.P(X) X².P(X)
0 0.78 0 0
1 0.22 0.22 0.22
Total 1 0.22 0.22

Mean, μ = Ʃ[X.P(X)] = 0.22

Variance, σ² = Ʃ(X².P(X)) - μ² = 0.22 - 0.22² = 0.1716

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