22HomeworkShylock enters a local branch bank at 4:30 p.m. every payday, at which time there are always two tellerson duty. The number X of customers in the bank who are either at a teller window or are waiting in asingle line for the next available teller has the following probability distribution.I 0 1 2 3P(x) 0.135 0.192 0.284 0.2304 5 6IP(x) 0.103 0.051 0.005a. What number of customers does Shylock most often see in the bank the moment he enters?b. What number of customers waiting in line does Shylock most often see the moment he enters?c. What is the average number of customers who are waiting in line the moment Shylock enters?23

A random variable denotes the number of customers in the bank who are either at a teller window or…

Answered: Shylock enters a local branch bank at…

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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Components coming off an assembly line are either free of defects (S, for success) or defective (F, for failure). Suppose that 80% of all such components are defect-free. Components are independently selected and tested one by one. Let y denote the number of components that must be tested until a defect-free component is obtained.

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