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5) Three uncorrelated random variables X1, X2 and X3 have means X, = 1, X2 = -3 and X3 =+1.5 and second moments E[X,²) = 2.5, E[X,2) = 11, and E[X3²] = 3.5. Let Y = X1 - 2X2 + 3X3 be a new random variable and find: (a) the mean value, (b) the variance of Y.

5) Three uncorrelated random variables X1, X2 and X3 have means X, = 1, X2 = -3 and X3 =+1.5 and second moments E[X,²) = 2.5, E[X,2) = 11, and E[X3²] = 3.5. Let Y = X1 - 2X2 + 3X3 be a new random variable and find: (a) the mean value, (b) the variance of Y.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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5) Three uncorrelated random variables X1, X2 and X, have means X, = 1, X2 = -3 and X3 =+1.5 and second moments E[X,²) = 2.5, E[X2) = 11, and E[X32j = 3.5. Let Y =X1 - 2X2 + 3X3 be a new random variable and find: (a) the mean value, (b) the variance of Y.
Transcribed Image Text:5) Three uncorrelated random variables X1, X2 and X, have means X, = 1, X2 = -3 and X3 =+1.5 and second moments E[X,²) = 2.5, E[X2) = 11, and E[X32j = 3.5. Let Y =X1 - 2X2 + 3X3 be a new random variable and find: (a) the mean value, (b) the variance of Y.
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