Memoryless property of geometric random variables. Let X Geom(p) denote a Geometric ran dom variable with the success probability p. a. Derive P(X > k) for an integer k > 0 b. Derive P(X > t + SIX > s) for integers s > 0,15 > 0. c. Show that geometric distribution is memoryless, i.e., show that P(X > t + SIX > s) = P(X >15) for any 3 > 0,73 > 0