a. What is the probability that the lifetime X of the first component exceeds 3?b. What are the marginal pdf's of X and Y? Are the two lifetimes independent?x. What is the probability that the lifetime of at least one component exceeds 3? 12. Two components of a minicomputer have the followingjoint pdf for their useful lifetimes X and Y:xe-x(1+y) x 20 and y > 0хеf(x, y) =otherwisea. What is the probability that the lifetime X of the firstcomponent exceeds 3?b. What are the marginal pdf's of X and Y? Are the twolifetimes independent? Explain.с.What is the probability that the lifetime of at leastone component exceeds 3?or lomnnTet

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Answered: a. What is the probability that 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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a. What is the probability that the lifetime X of the first component exceeds 3?

b. What are the marginal pdf's of X and Y? Are the two lifetimes independent?

x. What is the probability that the lifetime of at least one component exceeds 3?

12. Two components of a minicomputer have the following
joint pdf for their useful lifetimes X and Y:
xe-x(1+y) x 20 and y > 0
хе
f(x, y) =
otherwise
a. What is the probability that the lifetime X of the first
component exceeds 3?
b. What are the marginal pdf's of X and Y? Are the two
lifetimes independent? Explain.
с.
What is the probability that the lifetime of at least
one component exceeds 3?
or lomnn
Tet

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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