Maurice Tutor

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    Argosy University/ Phoniex University/
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    Oct-2001 - Nov-2016

Category > Management Posted 26 Oct 2017 My Price 7.00

marginal pmf

Return to the situation described in Exercise 3.

 

a. Determine the marginal pmf of X1, and then calculate the expected number of customers in line at the express checkout.

b. Determine the marginal pmf of X2.

c. By inspection of the probabilities P(X1= 4), P(X2 = 0), and P(X1 = 4, X2 1= 0), are X1

Exercise 3. A certain market has both an express checkout line and a superexpress 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 superexpress checkout at the same time. Suppose the joint pmf of X1 and X2 is as given in the accompanying table

 

a. What is P(X1 = 1, X2 = 1), that is, the probability that there is exactly one customer in each line?

b. What is P(X1 = X2), 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 customers in one line than in the other line. Express A in terms of X1 and X2, and calculate the probability of this event.

d. What is the probability that the total number of customers in the two lines is exactly four? At least four?

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Maurice Tutor
(5)
Status NEW Posted 26 Oct 2017 03:10 PM My Price 7.00

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