Question

Suppose that X is exponentially distributed with parameter 1 = 4. Given that X=X, Y is normally distributed with mean and standard deviation x. Which of the following is the conditional probability density of Y given X=x? (1/a)2 e 2 72 73 e 2 √2 ay (y/-)2 4e 43 e 2 72 73 4 e 40 e 2 V2 πμ

Answer 1

Sol:

Here X follows an exponential distribution with parameter $\lambda = 4$

Given that X = x , Y is normally distributed with mean 0 and standard deviation x.

fG=r) Х e V2.2

Option " a " is correct.

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