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.x0123456p(x) 0.100.180.200.220.200.060.04Calculate the cdf F(x).x0123456F(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} 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 2 345 6p(x)0.10 0.18 0.20 0.22 0.20 0.06 0.04Calculate the cdf F(x).2346.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}

Given that Probability mass function x 0 1 2 3 4 5 6 P(x) 0.10 0.18 0.20 0.22 0.20 0.06…

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}

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}

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

100%

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	0.06	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 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}