Question

        
I want the covariance and coefficient correlation plz with explanations thank you

1 point) Canadians who visit the United States often buy liquor and cigarettes, which are much cheaper in the United States. However, there are limitations. Canadians visiting in the United States for more than 2 days are aliowed to bring into Canada one bottle of liquor and one carton of cigareoes. A Canada Customs agert has produced the following joint probability distribution of the number of bottles of iquor and the number of cartons of cigarettes imperted by Canadans who have visited the United States for 2 or more days. Botties of Liquor Cartons of Cigaretes1 061 0.16 0.07 0.16 A. Find the marginal probability distribution of the number of bottles imported P(D Bottles) 0.68 P(1 Bottle) 0.32 B. Find the marginal probabity distribution of the number af cigarette cartons imported P(O Cartons)- 0.77 P(1 Carton)0.23 C. Compute the mean and variance of the number of bottles of liquor imported. Mean -0.32 C. Compute the mean and variance of the number of bottles of liquor imported Mean 0.32 Variance 0.2176 D. Compute the mean and variance of the number of cigarette cartons imported Mean 0.23 Variance 0.1771 E. Compute the covariance and the coefficient of correlation. Covariance# | 0.1508 Coefficient of Correlation # | 1 .49466

Answer 1

-E(x)E(Y) E(x,y) (X,Y) = CovaW2nce oxoxo.GI+oxl xo.여 +0x1xo-t6txo. 16x, Eley) = hence 16 -0.3223) Covavien te x) =o.osc E (*) 0.32 = E (x)-(E(X)) : o.32-632y varience (X) sA (x) = sqrt (var(x)): dAsn Similarly varience ly) ะ E (9)-ley). 025+ (013) 0.1千千1 Sqrt (vayC ㄹ 0,4123

hence Carrelaioncov Cry))sden) = o.OEL| (0.4582卡σ.4t2.3
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