2 Q. A telephone call may pass through a series of trunks before reaching its destina- tion. If the destination is within the caller’s own local exchange, then no trunks will be used. Assume that the number of trunks used, X, is a modified geometric random variable with parameter p. Define Z to be the number of trunks used for a call directed to a destination outside the caller’s local exchange. What is the pmf of Z? Given that a call requires at least three trunks, what is the conditional pmf of the number of trunks required?

2 Q. A telephone call may pass through a series of trunks before reaching its destina- tion. If the destination is within the caller’s own local exchange, then no trunks will be used. Assume that the number of trunks used, X, is a modified geometric random variable with parameter p. Define Z to be the number of trunks used for a call directed to a destination outside the caller’s local exchange. What is the pmf of Z? Given that a call requires at least three trunks, what is the conditional pmf of the number of trunks required?

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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