A mail-order company business has six telephone lines let x

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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.

x 0 1 2 3 4 5 6
p(x)    0.10    0.15       0.20       0.25       0.20       0.05       0.05   

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}

Reference no: EM13626774

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