(d) (between two and five lines, inclusive, are in use} 0.88 (e) {between two and four lines, inclusive, are not in use> 0.25 |x (f) {at least four lines are not in use} 0.10
(d) (between two and five lines, inclusive, are in use} 0.88 (e) {between two and four lines, inclusive, are not in use> 0.25 |x (f) {at least four lines are not in use} 0.10
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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Transcribed Image Text: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.
1
2
3
4
6
p(x) 0.11
0.15 0.20 0.25 0.19 0.09 0.01
Calculate the probability of each of the following events.
(a)
{at most three lines are in use}
0.71
(b) {fewer than three lines are in use}
0.46
(c)
{at least three lines are in use}
0.54
(d) {between two and five lines, inclusive, are in use}
0.88
(e) {between two and four lines, inclusive, are not in use}
0.25
(f)
{at least four lines are not in use}
0.10
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