a. What is the probability that a jet engine will last less than 12 months before needing to berebuilt?b. What is the probability that a jet engine will last more than 12 months before needing to berebuilt?c. Given a jet engine has lasted more than 6 months, what is the probability it will last morethan 12 months before needing a rebuild? 4. Define the continuous random variable X as the time (in months) a jet engine can operate beforeneeding to be rebuilt. The cumulative distribution function F(x) (P(X ≤ x)) is given to be (notethis is the cumulative distribution function F(x), not the density function f(x)):F(x) = P(X ≤ x) =0{:1 — exp (-0.03x¹.2) = 1 – 6-0.03x1.2x ≤ 00 < x <∞

Here given cumulative distribution function of X. X = time in months jet engine operate before…

What is the probability that a jet engine will last less than 12 months before needing to be rebuilt? b. What is the probability that a jet engine will last more than 12 months before needing to be rebuilt? c. Given a jet engine has lasted more than 6 months, what is the probability it will last more than 12 months before needing a rebuild?

What is the probability that a jet engine will last less than 12 months before needing to be rebuilt? b. What is the probability that a jet engine will last more than 12 months before needing to be rebuilt? c. Given a jet engine has lasted more than 6 months, what is the probability it will last more than 12 months before needing a rebuild?

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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Question

a. What is the probability that a jet engine will last less than 12 months before needing to be
rebuilt?

b. What is the probability that a jet engine will last more than 12 months before needing to be
rebuilt?

c. Given a jet engine has lasted more than 6 months, what is the probability it will last more
than 12 months before needing a rebuild?

4. Define the continuous random variable X as the time (in months) a jet engine can operate before
needing to be rebuilt. The cumulative distribution function F(x) (P(X ≤ x)) is given to be (note
this is the cumulative distribution function F(x), not the density function f(x)):
F(x) = P(X ≤ x) =
0
{:
1 — exp (-0.03x¹.2) = 1 – 6
-0.03x
1.2
x ≤ 0
0 < x <∞

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