A certain market has both an express checkout line and a super express checkout line. Let X1 denote the number of customers in line at the express checkout at a particular time of day and let X2 denote the number of customers in line at the super express checkout at the same time. Suppose the joint pmf of X1 and X2 is as given in the accompanying table. X2 1 2 3 0.08 0.07 0.04 0.03 1 0.07 0.10 0.08 0.04 X1 2 0.05 0.04 0.06 0.05 3 0.01 0.04 0.04 0.07 4 0.02 0.01 0.05 0.05 (a) What is P(X1 < X2)? (b) What is the marginal distribution of X,? (c) What is the marginal distribution of X2? (d) Are X, and X2 independent? Support your answer. (e) Find the conditional distribution of X1 given that X2 = 2: P(X1|X2 = 2). %3D

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.