(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 for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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Q13  Please answer b, c, and d

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
012 3 4 5
6
p(x)
0.12 0.15 0.20 0.23 0.20 0.07 0.03
Calculate the cdf F(x).
3
4
5
6
F(x)
Graph the cdf F(x).
F(X)
1.0
0.8
0.6
0.4
0.2
0.0
O
F(X)
1
0
3
T
FOX)
1.0
0.8
0.6
0.4
02
0.0
O
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
1
2
3
4
3
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}
1
1
2
3
6
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. X 012 3 4 5 6 p(x) 0.12 0.15 0.20 0.23 0.20 0.07 0.03 Calculate the cdf F(x). 3 4 5 6 F(x) Graph the cdf F(x). F(X) 1.0 0.8 0.6 0.4 0.2 0.0 O F(X) 1 0 3 T FOX) 1.0 0.8 0.6 0.4 02 0.0 O 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 1 2 3 4 3 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} 1 1 2 3 6 X
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