A website server experiences an average of 5 hits per hour. Assuming the number of hits follows a Poisson distribution, what is the probability that in any given hour, the server receives more than 7 hits?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 59E
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  1. A website server experiences an average of 5 hits per hour. Assuming the number of hits follows a Poisson distribution, what is the probability that in any given hour, the server receives more than 7 hits?

  2. A customer service center receives an average of 10 calls per hour. Assuming the call arrivals follow a Poisson distribution:

    (a) What is the probability that the center will receive exactly 5 calls in the next 30 minutes? (b) Determine the probability that no calls will be received in the next 15 minutes.

    (c) If the center receives 15 calls in an hour, is this event unusually high? Calculate the probability and discuss your finding based on the expected number of calls

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