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Problem 3 Consider the two independent random variables X1 and X2, such that E[X = Hi, i = 1,2 and Var(X;) = o?, i = 1,2. Let Y 2X1-3X2. Find the mean and variance of Y in terms of the means and variances of X1 and X2. %3D

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

Given independent random variables X and Y with E ( X )=80, σX=10 and E (Y)=85, σY =12 respectively, find the mean and variance of each of the following random variables.

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（see the picture）

You are given a fair die, i.e. the outcomes of any throw are contained in the sample space   Let the event A be that an even number is thrown and the event B that a multiple of three is thrown. Now consider the two random variables X and Y. X takes on a value of 1 if the event A has occurred and the value 0 if A has not occurred. The random variable Y takes on the value of 1 if the event B has occurred and the value zero if B has not occurred.

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