A small market has two checkout lines, regular and express. Let X be the number of customers in line at a regular checkout
A small market has two checkout lines, regular and express. Let X be the number of customers in line at a regular checkout, and Y that at the express checkout. At a particular time of the day, the joint probability mass function of X and Y is given by
(a) Find the probability that the total number of customers at a given time is at most 1, that is find P(X+Y≤1) [1]
(b) Fill in the table with the marginal distribution of Y [1]
(c) Find E(Y), E(Y2), V(Y) [3]
(d) Are X and Y independent? Explain [1]
(e) Assume E(X) = 0.9 and V(X) = 0.49. Find E(XY), cov(X,Y) and cor(X,Y) [3]
(f) Based on your result in part (e), comment on the strength of the linear relationship between X and Y [1]
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A small market has two checkout lines, regular and express. Let X be the number of customers in line at a regular checkout
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