Assignment: 1. Suppose X Bin(4,0.5). The probability mass function (pmf) and cumulative distri- bution function (edf) of X are shown in Figure 1. 2. 00 - PMF of Bin(4,0.5) g CDF of Bin 4,0.5) Figure 1: Pmf and cdf of Bin(4,0.5). (a) Find the pmf of X first by hand and then using R. That is, find the probabilities f(x) = P(X = x), x = 0,1,2,3,4. (b) Find the cdf of X first by hand and then using R. That is, find the probabilities F(x) = P(X 2) when (i) x