When you make a phone call, the line is busy with probability 0.2 and no one answers with probability 0.3. The random variable X describes the conversation time (in minutes of a phone call that is answered. X is an exponential random variable with E[X] = 3 minutes. Let the random variable W denote the conversation time (in seconds) of all calls (W=0 when the line is busy or there is no answer.) a) What is FW(w)? b) What is fW(w)? c) What are E[W] and Var[W]?

When you make a phone call, the line is busy with probability 0.2 and no one answers with probability 0.3. The random variable X describes the conversation time (in minutes of a phone call that is answered. X is an exponential random variable with E[X] = 3 minutes. Let the random variable W denote the conversation time (in seconds) of all calls (W=0 when the line is busy or there is no answer.) a) What is FW(w)? b) What is fW(w)? c) What are E[W] and Var[W]?

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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