A mail-order computer 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) 0.12 0.18 0.20 0.20 0.20 0.08 0.02 Calculate the cdf F(x). x 0 1 2 3 4 5 6 F(x) Graph the cdf F(x). Use the graph to calculate the probabilities of the events given below. (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}
A mail-order computer 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) 0.12 0.18 0.20 0.20 0.20 0.08 0.02 Calculate the cdf F(x). x 0 1 2 3 4 5 6 F(x) Graph the cdf F(x). Use the graph to calculate the probabilities of the events given below. (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}
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 48E
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A mail-order computer 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) | 0.12 | 0.18 | 0.20 | 0.20 | 0.20 | 0.08 | 0.02 |
Calculate the cdf F(x).
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| F(x) |
Graph the cdf F(x).
Use the graph to calculate the probabilities of the
(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}
(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}
Transcribed Image Text:A mail-order computer 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
4 5
p(x)
0.12 0.18 0.20 0.20 0.20 0.08 0.02
Calculate the cdf F(x).
1
2
3
4
F(x)
Graph the cdf F(x).
F(x)
F(x)
1.0
1.0
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2
0.0
0.0
X
1
2
3
4
6.
7
1
4
6
7
Transcribed Image Text:F(x)
F(x)
1.0
1.0
|
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2
0.0
0.0
X
X
1
4
7
1
2
3
6
7
Use the graph to calculate the probabilities of the events given below.
(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}
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