A mail-order computer business has six telephone lines. Let ? denote the number

Question

A mail-order computer business has six telephone lines. Let ? denote the number of lines in use at a specified time. Suppose the pmr or x is as given in the accompanying table. 0 1 23456 (x) 2 0.18 0.20 0.20 0.20 0.08 0.02 Calculate the edf Fx) F(x) Graph the cdf Fx). F(x) F(x) 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.0 0.0 1 235 6 7 1 235 6 7 F(x) F(x) 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.0 0.0 1 235 6 7 1 235 6 7 Use the graph to calculate the probabilities of the events given below. (a) fat most three lines are in use (b) (rewer than three lines are in use) (e) (at least three lines are in use (d) (between two and five lines, inclusive, are in use)

Explanation / Answer

a) probability that at most three lines are in use = .12+.18+.2+.2 = .7

b)  probability that fewer than three lines are in use = .12+.18+.2 = .5

c)  probability that atleast three lines are in use = .2+.2+.08+.02 = .5

d)  probability that fewer between two and five lines are in use = .2+.2+.2+.08 =.68

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