A branch of a certain bank has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as

follows: F(x)=\left\{\begin{array}{ll} 0 & x<0 \\ 0.02 & 0 \leq x<1 \\ 0.18 & 1 \leq x<2 \\ 0.35 & 2 \leq x<3 \\ 0.65 & 3 \leq x<4 \\ 0.85 & 4 \leq x<5 \\ 0.98 & 5 \leq x<6 \\ 1 & 6 \leq x \end{array}\right. Calculate the following probabilities directly from the cdf: (a) P(2), that is, P(X = 2) (b) P(X > 3) (c) P(2 S X s 5) (d) P(2 < x < 5)