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StatisticsProbability and Statistics for Engineering and the SciencesThe number of customers waiting for gift-wrap service at a department store is an rv X with possible values 0, 1, 2,3, 4 and corresponding probabilities .1, .2, .3, .25, .15. A randomly selected customer will have 1, 2, or 3 packages for wrapping with probabilities .6, .3, and .1, respectively. Let Y = the total number of packages to be wrapped for the customers waiting in line (assume that the number of packages submitted by one customer is independent of the number submitted by any other customer). a. Determine P ( X = 3, Y = 3), i.e., p (3, 3). b. Determine p (4, 11).BuyFind*arrow_forward*

9th Edition

Jay L. Devore

Publisher: Cengage Learning

ISBN: 9781305251809

Chapter 5.1, Problem 5E

Textbook Problem

The number of customers waiting for gift-wrap service at a department store is an rv *X* with possible values 0, 1, 2,3, 4 and corresponding probabilities .1, .2, .3, .25, .15. A randomly selected customer will have 1, 2, or 3 packages for wrapping with probabilities .6, .3, and .1, respectively. Let *Y* = the total number of packages to be wrapped for the customers waiting in line (assume that the number of packages submitted by one customer is independent of the number submitted by any other customer).

**a.** Determine *P*(*X* = 3, *Y* = 3), i.e., *p*(3, 3).

**b.** Determine *p*(4, 11).

Probability and Statistics for Engineering and the Sciences

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