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Q 4 (15 points) Let N be a Poisson random variable with mean 1. Let (S)ieN be i.i.d. standard normal random variables. Define N X

Q 4 (15 points) Let N be a Poisson random variable with mean 1. Let (S)ieN be i.i.d. standard normal random variables. Define N X : = Si = $1 + $2 + ... + EN. Find the mean and variance of X

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