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Mathematics, 17.04.2020 03:28 thebasedgodchri

A system consisting of one original unit plus a spare can function for a random amount of time X. If the density of X is given (in units of months) by f(x) = ( Cxex=2 x > 0 0 x 0 1. What is the value of C? 2. What is the probability that the system functions for at least 5 months? Hint: Use integration by parts to find the integral and use limx!1 xex=2 = 0.

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