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4 August, 00:05

X and Y are independent random variables. X is normally distributed with mean 1 and variance 1. Y is normally distributed with mean 3 and variance 5. What is the variance of Y - 2X?

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  1. 4 August, 03:02
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    Step-by-step explanation:

    Equation of variance:

    Total Variance = sum (i=1, N) {c^2, variance^2}

    = c1^2*variance1^2 + c2^2*variance2^2 + ...

    Variance of X = 1

    Variance of Y = 5

    Variance of Y - 2X = (1^2) * (5) - (2^2) * * (1)

    = 5 - 4 = 1
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