1. As part of their customer service assessment, a manufacturer compiled the table below showing wait times (rounded to the nearest minute) for calls to their appliance help center. Wait time (min) 4 8. 10 Number 16 55 87 101 87 63 42 16 13 What is P(X = 1)? a. What is the mean of the random variable in this problem? g. h. What is the variance for the random variable in this problem? Assume that five people independently place a service call to the appliance help center. What is the probability that the waiting time of exactly one person is less than or cqual to i. 4 min? j. Assume that five people independently place a service call to the appliance help center. What is the probability that exactly two people wait more than 4 min? k. Assume that five people independently place a service call to the appliance help center. What is the probability that at least one person waits more than 4 min?
1. As part of their customer service assessment, a manufacturer compiled the table below showing wait times (rounded to the nearest minute) for calls to their appliance help center. Wait time (min) 4 8. 10 Number 16 55 87 101 87 63 42 16 13 What is P(X = 1)? a. What is the mean of the random variable in this problem? g. h. What is the variance for the random variable in this problem? Assume that five people independently place a service call to the appliance help center. What is the probability that the waiting time of exactly one person is less than or cqual to i. 4 min? j. Assume that five people independently place a service call to the appliance help center. What is the probability that exactly two people wait more than 4 min? k. Assume that five people independently place a service call to the appliance help center. What is the probability that at least one person waits more than 4 min?
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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