The inter-arrival time X between faults in a network is exponential with parameter = 5. Hence, X has the pdf 5e-5x x > 0 fx(x) = 10, x < 0. (a) Find the cdf Fx(x). X (b) Find the probability that the inter-arrival time is at least 10. (c) Find E(X) (Use integration by parts).

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.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
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The inter-arrival time X between faults in a network is exponential with parameter = 5.
Hence, X has the pdf
5e-5x
x > 0
fx(x) =
10,
x < 0.
(a) Find the cdf Fx(x).
X
(b) Find the probability that the inter-arrival time is at least 10.
(c) Find E(X) (Use integration by parts).
Transcribed Image Text:The inter-arrival time X between faults in a network is exponential with parameter = 5. Hence, X has the pdf 5e-5x x > 0 fx(x) = 10, x < 0. (a) Find the cdf Fx(x). X (b) Find the probability that the inter-arrival time is at least 10. (c) Find E(X) (Use integration by parts).
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