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} 0.77 (e) {between two and four lines, inclusive, are not in use} 0.36 (f) {at least four lines are not in use} 0.71
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} 0.77 (e) {between two and four lines, inclusive, are not in use} 0.36 (f) {at least four lines are not in use} 0.71
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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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
4
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}
0.77
(e) {between two and four lines, inclusive, are not in use}
0.36
(f)
{at least four lines are not in use}
0.71
Expert Solution
Step 1
Given the probability mass function of X, the number of lines in use at a specified time in a mail order company business having six telephone lines:
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| p(x) | 0.11 | 0.15 | 0.20 | 0.25 | 0.19 | 0.09 | 0.01 |
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