The inter-arrival time X between faults in a network is exponential with parameter λ = 5.Hence, X has the pdf Jx(x)5e-5z0,I> 0x < 0.(a) Find the cdf Fx(x).(b) Find the probability that the inter-arrival time is at least 10.(c) Find E(X) (Use integration by parts).

Answered: Jx(x) = 5e-r 0. I≥0 I <0. (a) Find the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The inter-arrival time X between faults in a network is exponential with parameter λ = 5.
Hence, X has the pdf

Jx(x)
5e-5z
0,
I> 0
x < 0.
(a) Find the cdf Fx(x).
(b) Find the probability that the inter-arrival time is at least 10.
(c) Find E(X) (Use integration by parts).

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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