Could you double check this for me and show me the work to explain?? Thank you!!

Information Remove flag The random variable X has a probability distribution with moment-generating function of the following form: M(t) = (1 -bt)-e. Use the moment-generating-function technique to derive the raw moments of the distribution specified in the questions below. Then use thes raw moments to derive formulas for the distributional characteristics requested. Question 5 Answer saved Points out of 5.00 P Flag question Use the moment-generating technique to derive a formula for the first raw moment of the distribution. Select the resulting formula from the li below. Select one: O E( X ) = a2b O E(X) = b O E(X) = ab O E(X) = ab O E(X) = a O E(X) = + Clear my choice Question 6 Answer saved Points out of 5.00 P Flag question Use the moment-generating technique to derive a formula for the second raw moment of the distribution. Select the resulting formula from th list below. Select one: O E( X2 ) = a262 + ab2 O E(X2) = a2b O E(X2) = ab O E(X2) = ab2 O E(X2 ) = ab + a262 - ab2 O E(X2) = a2b2 - ab2 Clear my choice Question 7 Answer saved Points out of 5.00 P Flag question Determine the formula for the mean, /x, of the distribution. Select the resulting formula from the list below. Select one: HI = ab2 O Hz = a O HI = a2b O HI = b O Hx = ab Clear my choice Question 8 Answer saved Points out of 5.00 P Flag question Determine the formula for the variance, o?, of the distribution. Select the resulting formula from the list below. Select one: 0 02 = a26 O o? = ab(1 - b) 0 02 = a262 02 = ab O o? = ab(1 - a) Clear my choice