3) A production facility contains two machines that are used to rework items that are initially defective. Let X be the number of hours that the first machine is in use, and let Y be the number of hours that the second machine is in use, on a randomly chosen day. Assume that X and Y have joint probability density function given 0
3) A production facility contains two machines that are used to rework items that are initially defective. Let X be the number of hours that the first machine is in use, and let Y be the number of hours that the second machine is in use, on a randomly chosen day. Assume that X and Y have joint probability density function given 0
MATLAB: An Introduction with Applications
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![3) A production facility contains two machines that are used to rework
items that are initially defective. Let X be the number of hours that the
first machine is in use, and let Y be the number of hours that the
second machine is in use, on a randomly chosen day. Assume that X
and Y have joint probability density function given
S(x, y)= {C(r² + y? )
Sc+y²
0 <x, y < 1
otherwise
•Find the value of the constant C.
•What is the probability that both machines are in operation for more
than half an hour?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5e4f7f7-76a9-499b-b080-cac1db627365%2F8693e2b2-b9b6-4839-af31-6faa92910e49%2F3a2wb1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3) A production facility contains two machines that are used to rework
items that are initially defective. Let X be the number of hours that the
first machine is in use, and let Y be the number of hours that the
second machine is in use, on a randomly chosen day. Assume that X
and Y have joint probability density function given
S(x, y)= {C(r² + y? )
Sc+y²
0 <x, y < 1
otherwise
•Find the value of the constant C.
•What is the probability that both machines are in operation for more
than half an hour?
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