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    Statistically Independent Random Variables

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    Two statistically random variables, X and Y, have variances of 9 and 25 respectively. Two new random variables are defined by

    U=3X+4Y
    V=5X-2Y

    A) Find the variances of U and V.
    B) Find the correlation coefficient of U and V.

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    https://brainmass.com/statistics/random-variables/statistically-independent-random-variables-194460

    Solution Preview

    Two statistically random variables, X and Y, have variances of 9 and 25 respectively. Two new random variables are defined by

    U=3X+4Y
    V=5X-2Y

    A)Find the variances of U and V.

    We assume that X and Y are independent. Then

    Var(U)=Var(3X+4Y)
    ...

    Solution Summary

    This solution solves the provided questions and shows all calculations to aid you in understanding each answer.

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