Suppose your best friend gave you the following specification for random variables X and Y: X ~ Bernoulli(p) Y X = x ~ Normal(2x, 02)
Suppose your best friend gave you the following specification for random variables X and Y: X ~ Bernoulli(p) Y X = x ~ Normal(2x, 02) (a) Find E[Y] (b ) Find var[Y] Suppose that your friend also gave you (maybe you need to find a new friend): X ~ Gamma(a, B) Y X = x ~ Exponential(x) (c) Find the marginal probability density function for Y
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