Question

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: Calculate the following probabilities directly from the cdf: (a) P(2), that is, P(X = 2) (b) P(X > 3) F(x)=\left\{\begin{array}{ll} 0 & x<0 \\ 0.07 & 0 \leq x<1 \\ 0.16 & 1 \leq x<2 \\ 0.44 & 2 \leq x<3 \\ 0.60 & 3 \leq x<4 \\ 0.91 & 4 \leq x<5 \\ 0.96 & 5 \leq x<6 \\ 1 & 6 \leq x \end{array}\right.

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