3. A certain market has both an express checkout line and a superexpress checkout line. Let X, denote the number of customers in line at the express checkout at a particular time of day, and let X, denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X, and X, is as given in the accompanying table. X2 1 2 3 .08 .07 .04 .00 .06 .15 .05 .04 .05 .04 .10 .06 .00 .03 .04 .05 07 4 .00 .01 .06 a. What is P(X, = 1. X, = 1), that is, the probability that there is exactly one customer in each line? b. What is P(X,= X), that is, the probability that the numbers of customers in the two lines are identical? c. Let A denote the event that there are at least two more cus- tomers in one line than in the other line. Express A in terms of X, and X, and calculate the probability of this event. 01130

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The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.