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?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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2. A system consisting of one original unit plus a spare can function for a random amount of time X. If the density
function of X is given (in units of months) by f (x) =
Cxe-x/2, x > 0
what is the probability that the system
0,
otherwise
functions for at least 5 months?
Transcribed Image Text:2. A system consisting of one original unit plus a spare can function for a random amount of time X. If the density function of X is given (in units of months) by f (x) = Cxe-x/2, x > 0 what is the probability that the system 0, otherwise functions for at least 5 months?
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