Suppose that X ~ N(0,1). Then, under the condition X =x for some I E R, the distribution of Y is normal with mean 2.x and variance 1, i.e., (Y|X = x) ~ N(2x, 1). Find the marginal pdf of Y. %3D

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Suppose that X ~
and variance 1, i.e., (Y X = x) ~ N(2x, 1). Find the marginal pdf of Y.
N(0,1). Then, under the condition X = x for some r E R, the distribution of Y is normal with mean 2x
Transcribed Image Text:Suppose that X ~ and variance 1, i.e., (Y X = x) ~ N(2x, 1). Find the marginal pdf of Y. N(0,1). Then, under the condition X = x for some r E R, the distribution of Y is normal with mean 2x
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