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Linear Functions of Random Variables

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X and Y are independent, normal random variables with E(X)=0, V(X)=4, E(Y)=10, V(Y)=9.

Determine the following:

a) P(2X + 3Y) b) V(2X + 3Y)

c) P(2X +3Y<30) d) P(2X + 3Y<40)

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Solution Summary

The solution uses linear functions of random variables to determine subsets.