please solve question no 3 on page

Let * be a random variable with the moment generating function met) Show that the moment generating function 1 = a x th is given by mcat), and use this to show E ( y) = a Eco + b. 2.) for each part, find the distribution and the expected value of the random variable with the given moment generating function. a) mix (t ) = (0.3 ex + 0.7 ) 6 6) mxit) = 0.2 + 0.Be to.4 + oil Suppose that we toss a fair coin three times. Let X denote the # of heads observed. a) Find the values of y #= E( x ) and 0 2 = var (x ) D Find the exact value of P( / x-/ 2 20) A ( ) Find the estimation for P ( 1x - 1/