Question 4: A communication system consists of n components, each of which will function independently with probability p. The total system will be able to operate effectively if at least one-half of its components function. Let X be the number of functioning components, a) What is the distribution of random variable X? b) For what values of p is a 5-component system more likely to operate effectively than a 3- component system? c) Calculate E[X] and Var(X).

Question 4: A communication system consists of n components, each of which will function independently with probability p. The total system will be able to operate effectively if at least one-half of its components function. Let X be the number of functioning components, a) What is the distribution of random variable X? b) For what values of p is a 5-component system more likely to operate effectively than a 3- component system? c) Calculate E[X] and Var(X).

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...

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Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.
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