1. 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 Px (x) 0.1 0.15 0.2 0.25 0.2 0.06 0.04 Calculate the probability of each of the following events. (1) {at most three lines are in use}; (2) {between two and five lines, inclusive, are in use}; (3) {between two and four lines, inclusive, are not in use}; (4) {at least four lines are not in use}.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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1. 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
Px (x) 0.1 0.15 0.2 0.25 0.2 0.06 0.04
Calculate the probability of each of the following events.
(1) {at most three lines are in use};
(2) {between two and five lines, inclusive, are in use};
(3) {between two and four lines, inclusive, are not in use};
(4) {at least four lines are not in use}.
Transcribed Image Text:1. 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 Px (x) 0.1 0.15 0.2 0.25 0.2 0.06 0.04 Calculate the probability of each of the following events. (1) {at most three lines are in use}; (2) {between two and five lines, inclusive, are in use}; (3) {between two and four lines, inclusive, are not in use}; (4) {at least four lines are not in use}.
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