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]?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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When you make a phone call, the line is busy with
a) What is FW(w)?
b) What is fW(w)?
c) What are E[W] and Var[W]?
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