Consider the geometric distribution. fx = (1 -p)k-1p 1. Show that the moment generating function is pet m(t) = 1 - get where q = 1 - p. Hint: You may assume that let (1 - p)| 2.Find the first and second derivatives m'(t) and m"(t) of m(t) and calculate m(")(0) and m(?)(0) and use them to find the mean / and variance o