2. A system consisting of one original unit plus a spare can function for a random amount of time X. If the densityfunction of X is given (in units of months) by f (x) =Cxe-x/2, x > 0what is the probability that the system0,otherwisefunctions for at least 5 months?

From the given information, fx=Cxe-x2, x>0 The value of C is obtained below:…

Answered: A system consisting of one original…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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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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A system consisting of one original unit plus a spare can function for a random amount of time X. If the density (Cxe-x/2, x > 0 0, function of X is given (in units of months) by f(x) = what is the probability that the system otherwise functions for at least 5 months?