Question: Assume that for a discrete random variable L ~ Bernoulli(1/2), a random variable X has the conditional distribution, X | {L = 0} ~ N(

Assume that for a discrete random variable L ~ Bernoulli(1/2), a

Assume that for a discrete random variable L ~ Bernoulli(1/2), a random variable X has the conditional distribution, X | {L = 0} ~ N( - 2.5, 2 X | {L = 1} ~ N( + 2.5, 72 Generate 100 random variates { X}:09 from the distribution of X. Use simulation studies to numerically estimate E(X), median(X ), and var(X)

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