Show transcribed image text Problem 2 (5 points) Consider a random variable X with Rx {-1,0,1} and PMF P(X =-1) =- , P(X = 0) = 2, P(X = 1)= 4 a) Determine the moment-generating function (MGF) Mx(t) of X. b) Obtain the first two derivatives of the MGF to compute E[and Var(X)
Problem 2 (5 points) Consider a random variable X with Rx {-1,0,1} and PMF P(X =-1) =- , P(X = 0) = 2, P(X = 1)= 4 a) Determine the moment-generating function (MGF) Mx(t) of X. b) Obtain the first two derivatives of the MGF to compute E[and Var(X)