The number of calls into a call center for any given interval often follows a Poisson distribution. The Poisson distribution is a discrete probability distribution char- acterized by a single mean parameter, λ. The Poisson distribution has a unique property that its variance is equal to its mean. Suppose the number of calls into a call center for any particular day follows a Poisson (10) distribution (i.e., a Poisson distribution with λ = 10). Calculate the probability that call center averages 12 or more calls per day over a span of 7 randomly selected days.

The number of calls into a call center for any given interval often follows a Poisson distribution. The Poisson distribution is a discrete probability distribution char- acterized by a single mean parameter, λ. The Poisson distribution has a unique property that its variance is equal to its mean. Suppose the number of calls into a call center for any particular day follows a Poisson (10) distribution (i.e., a Poisson distribution with λ = 10). Calculate the probability that call center averages 12 or more calls per day over a span of 7 randomly selected days.

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

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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