Question

i need help thank you

1. A shopping mall estimates the probability distribution of the number of stores mall customers actually enter, as shown in the table x 0 1 2 3 4 5 6 7 8 P(x) 0.05 0.07 0.12 0.15 0.2 0.13 0.11 0.1 0.07 a. Find the mean and standard deviation of the number of stores entered. (10%) b. Refer to Question a Suppose that, on average, customers spend 10 in each store they enter. Find the mean and standard deviation of the total amount of time customers spend in stores. (10%) 2. Canadians who visit the U.S.A often buy liquor and cigarettes, which are much cheaper in the U.S.A. However, there are limitations. Canadians visiting in the U.S.A for more than 2 days are allowed bring into Canada one bottle of liquor and one carton of cigarettes. A Canada customs agent has produced the following joint probability distribution of number of bottles of liquor and the number of cartons of cigarettes imported by Canadians who have visited the U.S.A for 2 more days. bottles of liquor bottles of liquor cartons of cigarettes 0.60 0.21 cartons of cigarettes 0.09 a. Find the marginal probability distribution of the number of bottles imported.(4%) b. Find the marginal probability distribution of the number of cigarette cartons imported. (4%) C. Compute the mean and variance of number of bottles imported. (4%) d. Compute the mean and variance of number of cigarette cartons imported. (4%) e. Compute the covariance and coefficient of correlation. (4%)

Answer 1

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