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) 0.11 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} (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}
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) 0.11 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} (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}
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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) | 0.11 | 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}
(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}
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.
0 1
2
3 4 5 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}
(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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