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 accompany table. X X Calculate the cdf F(x). F(x) p(x) 0 2 3 4 5 6 1 0.10 0.15 0.18 0.27 0.20 0.07 0.03 0 . 1 2 3 4 5 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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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 accompanyi
table.
X
Calculate the cdf F(x).
F(x)
1.0
Graph the cdf F(x).
F(x)
0.8
0.6
0.4
13
X
0.2
p(x)
0.0
1
0
2
3
4
5 6
1
0.10 0.15 0.18 0.27 0.20 0.07 0.03
0
2
F(X)
1.0
0.8
0.6
0.4
0.2
0.0
3
1
4
6
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 accompanyi table. X Calculate the cdf F(x). F(x) 1.0 Graph the cdf F(x). F(x) 0.8 0.6 0.4 13 X 0.2 p(x) 0.0 1 0 2 3 4 5 6 1 0.10 0.15 0.18 0.27 0.20 0.07 0.03 0 2 F(X) 1.0 0.8 0.6 0.4 0.2 0.0 3 1 4 6
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}
Transcribed Image Text: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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