Question

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. Shown below is a table showing the number of snack items and the number of items of reading material purchased by the most recent customers. Reading Material 0 1 2 Snacks 0 0 66 15 1 237 81 36 2 123 33 9 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 one item of reading materials and two items of snack? (to 3 decimals) What is the probability of a customer purchasing one reading material item only? (to 3 decimals) Why is the probability ? The probability because the point of sale terminal is only used when 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?

Answer 1

The probability because the point of sale terminal is only used when 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)

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