Question 1 (15 pts). An archer shoots arrows at a circular target where the central portion of the target inside is called the bull. Suppose that the archer hits the bull 5% of the time. (a) Let X be the number of shots until the first hit. Find E[X], Var(X) and P(X > 10 | X > 3). (b) What is the probability that the archer will hit 3th bull on his 8th shot? (c) What is the probability that the archer will hit exactly 3 bulls in 8 shots