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 V kend{array}

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 V k\end{array} ight)(-1)^{k} X^{50-k} \leq 2^{50} ight) $ (d) Compute $P\left(X^{2} ight)$. (f) Compute $P(-1.1
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