An automotive center keeps track of customer complaints received each week. The probability distributions of complaints are shown below. The random variable, xi, represents the number of complaints, and p(xi) is the probability of receiving xi complaints for two of the stores. The cost impact of each complaint is believed to be y=$10x3 where x is the number of complaints. Store A

An automotive center keeps track of customer complaints received each week. The probability distributions of complaints are shown below. The random variable, xi, represents the number of complaints, and p(xi) is the probability of receiving xi complaints for two of the stores. The cost impact of each complaint is believed to be y=$10x3 where x is the number of complaints. Store A

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

An automotive center keeps track of customer complaints received each week. The probability distributions of complaints are shown below. The random variable, x_i, represents the number of complaints, and p(x_i) is the probability of receiving x_i complaints for two of the stores. The cost impact of each complaint is believed to be y=$10x³ where x is the number of complaints.

Store A

x_i	0	1	2	3	4	5	6
p(x_i)	0.10	0.15	0.20	0.25	0.15	0.10	0.05

Store B

x_i

p(x_i)

0.10

0.15

0.25

0.22

0.13

0.08

0.07

Compute the simulated averages and standard deviations of the number of complaints per week for each store and the total for both stores over the 52 weeks. Compare to the theoretical mean and standard deviations.

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