mail-order company 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) 0.12 0.15 0.20 0.25 0.18 0.09 0.01 Calculate the probability of each of the following events. (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} (e) {between two and four lines, inclusive, are not in use} (f) {at least four lines are not in use}

mail-order company 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) 0.12 0.15 0.20 0.25 0.18 0.09 0.01 Calculate the probability of each of the following events. (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} (e) {between two and four lines, inclusive, are not in use} (f) {at least four lines are not in use}

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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Question

A mail-order company 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)	0.12	0.15	0.20	0.25	0.18	0.09	0.01

Calculate the probability of each of the following events.

(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}

(e)

{between two and four lines, inclusive, are not in use}

(f)

{at least four lines are not in use}

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