The number of calls to a 24-hour service “hotline" follows a Poisson distribution with a mean of 2.5 calls per hour. а. What is the probability that exactly three calls arrive during an hour? What is the probability that exactly six calls arrive during a two-hour period? The time between calls is exponentially distributed with a mean of 24 minutes. What is the probability that more than one hour elapses between calls to the "hotline"? b.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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The number of calls to a 24-hour service “hotline" follows a Poisson distribution with a mean of 2.5
calls per hour.
What is the probability that exactly three calls arrive during an hour?
а.
b.
What is the probability that exactly six calls arrive during a two-hour period?
The time between calls is exponentially distributed with a mean of 24 minutes. What is the
с.
probability that more than one hour elapses between calls to the "hotline"?
Transcribed Image Text:The number of calls to a 24-hour service “hotline" follows a Poisson distribution with a mean of 2.5 calls per hour. What is the probability that exactly three calls arrive during an hour? а. b. What is the probability that exactly six calls arrive during a two-hour period? The time between calls is exponentially distributed with a mean of 24 minutes. What is the с. probability that more than one hour elapses between calls to the "hotline"?
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