~ 1. If X Bin(10, 0.5). a) Find P(X = 4) False P(x = 4) = (-1, P" (1-p)" (n-x) b) Find P(X 2) True 2. A fair coin is tossed twelve times. a) What is the probability of obtaining exactly five heads? P(H) = P(T) = 0.5 n = 12 9.5(12)=6 b) Find the mean number of heads obtained. M=NP a=np (1-0) c) Find the variance of the number of heads obtained. 3. Let X Poisson(8). a) Find P(X = 3) -83 3 2(V) == Poisson (x, 8, Fulse)