A bookstore at the Hartsfield-Jackson Airport in Atlanta sells reading materials (paperback books, newspapers, magazines) as well as snacks (peanuts, pretzels, candy, etc.). A point-of-sale terminal collects a variety of information about customer purchases. The following table shows the number of snack items and the number of items of reading material purchased by the most recent customers.

	Reading Material
Snacks	0		1		2
0	0		60		18
1	231		90		36
2	129		30		6

a. Using the data in the table construct an empirical discrete bivariate probability distribution for number of snack items and number of reading materials in a randomly selected customer purchase.

What is the probability of a customer purchase consisting of two items of reading materials and two items of snack?

(to 3 decimals)

What is the probability of a customer purchasing two reading material items only?

(to 3 decimals)

Why is the probability ?

The probability because the point of sale terminal is only used when - Select your answer -someonenobodyItem 3 makes a purchase.

b. Show the marginal probability distribution for the number of snack items purchased. Compute the expected value and variance (if required enter negative values as negative numbers).

	(to 2 decimals)	(to 2 decimals)	(to 2 decimals)	(to 4 decimals)	(to 4 decimals)

Expected Value	(to 2 decimals)
Variance	(to 4 decimals)

c. What is the expected value and variance for the number of reading materials purchased by a customer?

Expected Value	(to 2 decimals)
Variance	(to 4 decimals)

d. Show the probability distribution for total number of items in a customer purchase. Compute its expected value and variance (if required enter negative values as negative numbers).

	(to 2 decimals)	(to 2 decimals)	(to 2 decimals)	(to 4 decimals)	(to 4 decimals)
1
2
3
4

Expected Value	(to 2 decimals)
Variance	(to 4 decimals)

e. Compute the covariance and correlation coefficient between and (if required enter negative values as negative numbers).

	(to 4 decimals)
	(to 4 decimals)

What is the relationship, if any, between the number of reading materials and number of snacks purchased on a customer visit?

- Select your answer -PositiveNegativeThere is no relationship.