Question: 1. Let $X$ be a standard normal random variable. (a) Find $Eleft(X^{303} ight) $. (b) Find $operatorname (Var}left(X^{303} ight) $. (c) Compute $Pleft(sum _{k=0}^{50}left(begin{array} {C}50

1. Let $X$ be a standard normal random variable. (a) Find

1. Let $X$ be a standard normal random variable. (a) Find $E\left(X^{303} ight) $. (b) Find $\operatorname (Var}\left(X^{303} ight) $. (c) Compute $P\left(\sum _{k=0}^{50}\left(\begin{array} {C}50 k\end{array} ight)(-1)^{k} X^{50-k} \leq 2^{50} ight) $ (d) Compute $P\left(X^{2}0 ight)$. (f) Compute $P(-1.1

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