3. A certain market has both an express checkout line and a super-express checkout line. Let A denote the number of customers in line at the express checkout at a particular time of day, and let B denote the number of customers in line at the super-express checkout at the same time. Suppose the joint PMF of A and B is as given in the following table. B 1 2 3 0.08 0.07 0.04 0.06 0.15 0.05 0.04 2 0.05 0.04 0.1 0.06 3 0.03 0.04 0.07 4. 0.01 0.05 0.06 a. What is P(A = B), that is, the probability that the numbers of customers in the two lines are identical? b. What is the probability that the total number of customers in the two lines is exactly four? At least four?

Question
3. A certain market has both an express checkout line and a super-express checkout line. Let A
denote the number of customers in line at the express checkout at a particular time of day, and
let B denote the number of customers in line at the super-express checkout at the same time.
Suppose the joint PMF of A and B is as given in the following table.
B
1 2 3
0.08
0.07
0.04
0.06
0.15
0.05
0.04
2
0.05
0.04
0.1
0.06
3
0.03
0.04
0.07
4.
0.01
0.05
0.06
a. What is P(A = B), that is, the probability that the numbers of customers in the two lines
are identical?
b. What is the probability that the total number of customers in the two lines is exactly four?
At least four?
Expand
Transcribed Image Text

3. A certain market has both an express checkout line and a super-express checkout line. Let A denote the number of customers in line at the express checkout at a particular time of day, and let B denote the number of customers in line at the super-express checkout at the same time. Suppose the joint PMF of A and B is as given in the following table. B 1 2 3 0.08 0.07 0.04 0.06 0.15 0.05 0.04 2 0.05 0.04 0.1 0.06 3 0.03 0.04 0.07 4. 0.01 0.05 0.06 a. What is P(A = B), that is, the probability that the numbers of customers in the two lines are identical? b. What is the probability that the total number of customers in the two lines is exactly four? At least four?

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