A mail-order company business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table. 01 2 3 4 5 6 p(x) 0.12 0.15 0.20 0.25 0.18 0.07 0.03 Calculate the probability of each of the following events. (a) {at most three lines are in use} (b) {fewer than three lines are in use} (c) (at least three lines are in use} (d) {between two and five lines, inclusive, are in use} (e) {between two and four lines, inclusive, are not in use} (f) (at least four lines are not in use}

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