Two continuous r.v.'s X and Y have the following distributional properties: X~ Uniform[2,3], and conditional on X=x, Y| X=x-N( 2x, x²). Then the unconditional variance of Y is Var[Y] = ? [Hint: Law of Total Variance and look at the formulas for the mean and variance of a U[a, b] r.v. at the back of the book]. 20/3 76/12 O 1/12 O 4.00

MATLAB: An Introduction with Applications
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Two continuous r.v.'s X and Y have the following distributional properties: X~
Uniform[2,3], and conditional on X=x,
Y| X=X - N( 2x, x²).
Then the unconditional variance of Y is Var[Y] = ? [Hint: Law of Total Variance and
look at the formulas for the mean and variance of a U[a, b] r.v. at the back of the
book].
20/3
76/12
1/12
4.00
Transcribed Image Text:Two continuous r.v.'s X and Y have the following distributional properties: X~ Uniform[2,3], and conditional on X=x, Y| X=X - N( 2x, x²). Then the unconditional variance of Y is Var[Y] = ? [Hint: Law of Total Variance and look at the formulas for the mean and variance of a U[a, b] r.v. at the back of the book]. 20/3 76/12 1/12 4.00
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