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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)

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)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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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. 0 1 2 3 4 5 6 p(x) 0.10 0.18 0.20 0.22 0.20 0.06 0.04 Calculate the cdf F(x). F(x) Graph the cdf F(x). F(X) X 1.0 0.8 0.6 0.4 0.2 0.0 O 1.0 0.8 0.6 0.4 0.2 + 0.0 I + I 2 3 5 6 7 2 3 4 5 6 F(x) F(x) 1.0 1.0 0.8 0.8 0.6 EE 0.6 0.4 0.4 0.2 0.2 0.0 0.04 L L L 2 3 5 6 7 1 2 3 4 5 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} I 0 1 4 F(x) 4 I 1 1 4 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. 0 1 2 3 4 5 6 p(x) 0.10 0.18 0.20 0.22 0.20 0.06 0.04 Calculate the cdf F(x). F(x) Graph the cdf F(x). F(X) X 1.0 0.8 0.6 0.4 0.2 0.0 O 1.0 0.8 0.6 0.4 0.2 + 0.0 I + I 2 3 5 6 7 2 3 4 5 6 F(x) F(x) 1.0 1.0 0.8 0.8 0.6 EE 0.6 0.4 0.4 0.2 0.2 0.0 0.04 L L L 2 3 5 6 7 1 2 3 4 5 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} I 0 1 4 F(x) 4 I 1 1 4 7 X
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