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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.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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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.
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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