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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}

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}

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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)     0.10 0.18 0.20 0.22 0.20 0.07 0.03


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}
Expert Solution
Step 1

Given that 

The pmf of X is as given in the accompanying table.

x 0 1 2 3 4 5 6
p(x)     0.10 0.18 0.20 0.22 0.20 0.07 0.03

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