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}

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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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