A bookstore at an airport 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 600 customers. Reading Material 0 0 0 18 60 60 Snacks 1 270 30 2 90 60 12 (a) Using the data in the table, construct an empirical discrete bivariate probability distribution for number of snack items and y number of reading materials in a randomly selected customer purchase Reading Material 0 2 Total Snacks () 1 2 Total What is the probably of a customer purchase consisting of one item of reading materials and two snack temu? What is the probability of a customer purchasing onesnack item only Why is the probability 0,0) - 07 Why is the probability (x = 0, y = 0) - 0? This point of sale terminal is only used when someone looks but does not make a purchase This point of sale terminal is used when someone purchases more than four items. This point of sale terminal is never used when someone makes a purchase, This point of sale terminal is only used when someone makes a purchase This point of sale terminal is never used when someone makes two purchases (b) Show the marginal probability distribution for the number of snack items purchased. Compute the expected value and variance. (Round your answers to four decimal places.) X f(x) xf(x) X-E(x) (x - E(x))2 (x - E(X))*(*) 0 1 2 EX) - Vartx) - (c) What is the expected value and variance for the number of reading materials purchased by a customer? expected value wariance (d) Show the probability distribution for t-total number of items in a customer purchase. Compute its expected value and variance. (Round your answers to four decimal places.) (0) tf(t) t-E(0) (t -(0) (t - ECC) 1 2 3 4 Vartt) - (c) Compute the covariance and correlation coeclent between x andy (Round your answers to four decimal places) covariance correlation coefficient What is the relationship, any, between the number of reading materials and number of snacks purchased on a customer visit? relationship between the number of reading materials purchased and the number of snacks purchased There is a