Assume that during each second, a job arrives at a webserver with probability 0.03. Use the Poisson distribution to estimate the probability that at least one job will be missed if the server goes down for 53 seconds. Round to at least 6 decimal places, or enter an exact answer using e and exponents. 1-(1)/(0!)e^-(.03 Use the binomial distribution to give the probability that at least one job will be missed if the server goes down for 53 seconds. Round to at least 6 decimal places, or enter an exact answer.

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.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 61CR
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Need help with probability and Poisson distribution

Assume that during each second, a job arrives at a webserver with probability 0.03.
Use the Poisson distribution to estimate the probability that at least one job will be missed if the server goes down for
53 seconds.
Round to at least 6 decimal places, or enter an exact answer using e and exponents.
1-(1)/(0!)e^-(.03
Use the binomial distribution to give the probability that at least one job will be missed if the server goes down for 53
seconds.
Round to at least 6 decimal places, or enter an exact answer.
Transcribed Image Text:Assume that during each second, a job arrives at a webserver with probability 0.03. Use the Poisson distribution to estimate the probability that at least one job will be missed if the server goes down for 53 seconds. Round to at least 6 decimal places, or enter an exact answer using e and exponents. 1-(1)/(0!)e^-(.03 Use the binomial distribution to give the probability that at least one job will be missed if the server goes down for 53 seconds. Round to at least 6 decimal places, or enter an exact answer.
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