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Let Y1 and Y2 denote the length of life, in hundreds of hours, for components of A and B, respectively, in an electronic system. The joint density of Y1 and Y, is yje (n t92), y1 > 0, y2 > 0, f(y1, Y2) otherwise. The cost C of replacing the two component depends on their length of life at failure and is given by C = 50 + 2Y1 + 4Y2. Find the variance of C.

Let Y1 and Y2 denote the length of life, in hundreds of hours, for components of A and B, respectively, in an electronic system. The joint density of Y1 and Y, is yje (n t92), y1 > 0, y2 > 0, f(y1, Y2) otherwise. The cost C of replacing the two component depends on their length of life at failure and is given by C = 50 + 2Y1 + 4Y2. Find the variance of C.

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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Let Y1 and Y, denote the length of life, in hundreds of hours, for components of A and B, respectively, in an electronic system. The joint density of Y1 and Y2 is f(y1, Y2) = { ie (y1 ty,). 10, Y1 > 0, y2 > 0, otherwise. The cost C of replacing the two component depends on their length of life at failure and is given by C = 50 + 2Y1 + 4Y2. Find the variance of C. Note: Please round your final answer to 2 decimal places.
Transcribed Image Text:Let Y1 and Y, denote the length of life, in hundreds of hours, for components of A and B, respectively, in an electronic system. The joint density of Y1 and Y2 is f(y1, Y2) = { ie (y1 ty,). 10, Y1 > 0, y2 > 0, otherwise. The cost C of replacing the two component depends on their length of life at failure and is given by C = 50 + 2Y1 + 4Y2. Find the variance of C. Note: Please round your final answer to 2 decimal places.
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