Calculate the cdf F(x). X F(x) Graph the cdf F(x). F(X) 1.0 0.8 0.6 0.4 0.2 P(x) 0.0 O 0 1 2 3 4 5 6 0.12 0.18 0.20 0.20 0.20 0.06 0.04 0 1 1 2 3 4 5 6 7 2 X F(X) 1.0 0.8 0.6 0.4 0.2 0.0 3 4 5 L 1 2 3 4 5 6 7 X 6
Calculate the cdf F(x). X F(x) Graph the cdf F(x). F(X) 1.0 0.8 0.6 0.4 0.2 P(x) 0.0 O 0 1 2 3 4 5 6 0.12 0.18 0.20 0.20 0.20 0.06 0.04 0 1 1 2 3 4 5 6 7 2 X F(X) 1.0 0.8 0.6 0.4 0.2 0.0 3 4 5 L 1 2 3 4 5 6 7 X 6
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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Question
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 | 0.06 | 0.04 |
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
(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:F(X)
1.0
0.8
0.6
0.4
0.2
0.0
1
2
3
4
5
(b) {fewer than three lines are in use}
(c) {at least three lines are in use}
6
7
Use the graph to calculate the probabilities of the events given below.
(a) {at most three lines are in use}
X
(d) {between two and five lines, inclusive, are in use}
F(x)
1.0
0.8
0.6
0.4
0.2
0.04
1
2
3
4
5
-
6
7
X
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.
Calculate the cdf F(x).
F(x)
Graph the cdf F(x).
F(x)
1.0
0.8
0.6
0.4
0.2
p(x)
0.0
O
1
0 1 2
2
3
4 5 6
0.12 0.18 0.20 0.20 0.20 0.06 0.04
0
2
I
3
L
4
1
5 6
7
2
X
F(x)
1.0
0.8
0.6
0.4
0.2
0.0
3
1
I
2
3
4
4
5 6
5
7
X
6
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