ESTION 5 1. A mail-order computer business has six telephone lines. Let $X$ denote the number of lines in use at probability mass function (pmf) of $X$ ix given as follows: $$ \begin{array}{1} P(x=0)=0.1 P(x-1)=0.15 P(x=2)=0.2 P(x=3)=0.25 P(x=4)=0.2 W P(x=5)=0.06 P(x=6)=0.04 \end{array} $$ a. Determine the cumulative distribution function for this pmf. b. Calculate the probability that at least 3 lines are in use. c. Calculate the probability that at least four lines are NOT in use. d. Compute the expected value and the variance of this pmf. CS.VS.1324