Question: 1 Question 4. (a) (5 pts) Find a constant c such that the function Screar? for 0 0. is a legitimate pdf. (b) pts) Let

1 Question 4. (a) (5 pts) Find a constant c such that the function Screar? for 0 0. is a legitimate pdf. (b) pts) Let L(t) = In (My()) where My(t) is the mgf of a random variable X and Inc.) stands for the natural log. Show that the first derivative of L(t) computed at t=0 is the mean of X and the second derivative of L computed at t=0 is the variance of X

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