Question: Let be a standard normal random variable z, and let be a differentiable function with derivative g'. a. Show that E[g'(Z)] = E(Zg(Z)]; b. Show

Let be a standard normal random variable z, and let be a differentiable function with derivative g'.

a. Show that E[g'(Z)] = E(Zg(Z)];

b. Show that E[Zn+1] = nE[Zn-1].

c. Find E[Z4].

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