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 va

Question

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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Amara 2 weeks 2021-09-13T16:26:25+00:00 1 Answer 0

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    2021-09-13T16:28:02+00:00

    Answer:

    1

    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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