4.14 Show that if X and Y are independent random variables, then var[X + Y] = var[X] + var[Y]. You will find it helpful to remember that, for X and Y independent, E[XY] = E[X]E[Y].
4.14 Show that if X and Y are independent random variables, then var[X + Y] = var[X] + var[Y]. You will find it helpful to remember that, for X and Y independent, E[XY] = E[X]E[Y].
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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![4.14 Show that if X and Y are independent random variables, then var[X + Y] = var[X] + var[Y]. You will find it helpful
to remember that, for X and Y independent, E[XY] = E[X]E[Y].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17f646ba-b993-4044-9bb2-45d012c56776%2F0accb8fe-9159-40b3-913e-53b5c4b14a47%2Fh38o0x3_processed.png&w=3840&q=75)
Transcribed Image Text:4.14 Show that if X and Y are independent random variables, then var[X + Y] = var[X] + var[Y]. You will find it helpful
to remember that, for X and Y independent, E[XY] = E[X]E[Y].
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