The number of telephone calls coming in to a central switchboard of an office building averages 4 per minute. (a) Find the probability that no calls will arrive during a given one-minute period. (b) Find the probability that two or more calls will arrive during a given one-minute period. (c) Find the probability that two or more calls will arrive during a given three- minute period. (d) Each call costs 25 cents, plus there is an additional cost of $2 for each hour to keep the line open. Find the mean and standard deviation of the amount of money spent on telephone calls during the next hour.
The number of telephone calls coming in to a central switchboard of an office building averages 4 per minute. (a) Find the probability that no calls will arrive during a given one-minute period. (b) Find the probability that two or more calls will arrive during a given one-minute period. (c) Find the probability that two or more calls will arrive during a given three- minute period. (d) Each call costs 25 cents, plus there is an additional cost of $2 for each hour to keep the line open. Find the mean and standard deviation of the amount of money spent on telephone calls during the next hour.
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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Transcribed Image Text:The number of telephone calls coming in to a central switchboard of an office building
averages 4 per minute.
(a) Find the probability that no calls will arrive during a given one-minute period.
(b) Find the probability that two or more calls will arrive during a given one-minute
period.
(c) Find the probability that two or more calls will arrive during a given three-
minute period.
(d) Each call costs 25 cents, plus there is an additional cost of $2 for each hour to
keep the line open. Find the mean and standard deviation of the amount of
money spent on telephone calls during the next hour.
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