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Solve the below problem: The lifetime (in hours) ? of an electronic component is a random variable with density (4) function given by 1 ?−?, ?>0, ?(?) = { 100 100 0, ?????h???. Three of these components operate independently in a piece of equipment. The equipment fails if at least two of the components fail. Find the probability that the equipment will operate for at least 200 hours without failure.

Solve the below problem: The lifetime (in hours) ? of an electronic component is a random variable with density (4) function given by 1 ?−?, ?>0, ?(?) = { 100 100 0, ?????h???. Three of these components operate independently in a piece of equipment. The equipment fails if at least two of the components fail. Find the probability that the equipment will operate for at least 200 hours without failure.

MATLAB: An Introduction with Applications
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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 Solve the below problem:
The lifetime (in hours) ? of an electronic component is a random variable with density
(4)
function given by
1 ?−?, ?>0, ?(?) = { 100 100
0,
?????h???.
Three of these components operate independently in a piece of equipment. The equipment fails if at least two of the components fail. Find the probability that the equipment will operate for at least 200 hours without failure. 

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