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The number of customer service inquiries a help-desk receives in a given hour during normal business hours (Monday through Friday, 08:00 to 17:00) is a random variable that can be modelled by the Poisson distribution, with a rate of 8.4 calls per hour. Part (a) What does this rate represent? ? How many calls would you expect in half an hour? ✓the number of calls that happen in an hour is (has been) Part (b) What is the probability that the help desk will receive (1) six calls in a given hour? (If rounding use at least four digits after the decimal in your answer) (ii) between five and ten calls (inclusive) in a given hour? (If rounding use at least four digits after the decimal in your answer) (iii) three calls in a 30 minutes? (If rounding use at least four digits after the decimal in your answer) Part (c) During the first hour (08:00 to 09:00), the help desk received 16 calls, what is the probability that 16 or more calls would happen. (If rounding use at least four digits after the decimal in your answer) Does this suggest that the number of calls the help-desk receives is higher than 8.4?

The number of customer service inquiries a help-desk receives in a given hour during normal business hours (Monday through Friday, 08:00 to 17:00) is a random variable that can be modelled by the Poisson distribution, with a rate of 8.4 calls per hour. Part (a) What does this rate represent? ? How many calls would you expect in half an hour? ✓the number of calls that happen in an hour is (has been) Part (b) What is the probability that the help desk will receive (1) six calls in a given hour? (If rounding use at least four digits after the decimal in your answer) (ii) between five and ten calls (inclusive) in a given hour? (If rounding use at least four digits after the decimal in your answer) (iii) three calls in a 30 minutes? (If rounding use at least four digits after the decimal in your answer) Part (c) During the first hour (08:00 to 09:00), the help desk received 16 calls, what is the probability that 16 or more calls would happen. (If rounding use at least four digits after the decimal in your answer) Does this suggest that the number of calls the help-desk receives is higher than 8.4?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The number of customer service inquiries a help-desk receives in a given hour during normal business hours (Monday through Friday, 08:00 to 17:00) is a random variable that can be modelled by the Poisson distribution, with a rate of 8.4 calls per hour. Part (a) What does this rate represent? ? How many calls would you expect in half an hour? the number of calls that happen in an hour is (has been) Part (b) What is the probability that the help desk will receive (1) six calls in a given hour? (If rounding use at least four digits after the decimal in your answer) (i) between five and ten calls (inclusive) in a given hour? (If rounding use at least four digits after the decimal in your answer) (iii) three calls in a 30 minutes? (If rounding use at least four digits after the decimal in your answer) Part (c) During the first hour (08:00 to 09:00), the help desk received 16 calls, what is the probability that 16 or more calls would happen. (If rounding use at least four digits after the decimal in your answer) Does this suggest that the number of calls the help-desk receives is higher than 8.4?
Transcribed Image Text:The number of customer service inquiries a help-desk receives in a given hour during normal business hours (Monday through Friday, 08:00 to 17:00) is a random variable that can be modelled by the Poisson distribution, with a rate of 8.4 calls per hour. Part (a) What does this rate represent? ? How many calls would you expect in half an hour? the number of calls that happen in an hour is (has been) Part (b) What is the probability that the help desk will receive (1) six calls in a given hour? (If rounding use at least four digits after the decimal in your answer) (i) between five and ten calls (inclusive) in a given hour? (If rounding use at least four digits after the decimal in your answer) (iii) three calls in a 30 minutes? (If rounding use at least four digits after the decimal in your answer) Part (c) During the first hour (08:00 to 09:00), the help desk received 16 calls, what is the probability that 16 or more calls would happen. (If rounding use at least four digits after the decimal in your answer) Does this suggest that the number of calls the help-desk receives is higher than 8.4?
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