Geometric Distribution. (Discrete waiting time distribution) It is known that 1% of bits transmitted through a digital transmission are received in error. Bits are transmitted until the first error. Let X be the number of transmitted bits including the first error. a. What are the possible values of X? (Support) b. What is the pmf of X? C. Show that P(X>t+s|X>t) is independent of t, where s and t are positive integers. (Memoryless) d. What is the mean of X? You can either derive it, or show it with R. simulations.