The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson random variable. Assume that on the average there are 10 calls per hour. What is the probability that there are exactly 10 calls in 45 mins? What is the probability there are no calls within 45 mins? a. 0.0858, 0.0006 O b.0.8622, 0.0006 O c. NONE O d.0.1251, 0.000045

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 41E
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The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson
random variable. Assume that on the average there are 10 calls per hour. What is the probability
that there are exactly 10 calls in 45 mins? What is the probability there are no calls within 45
mins?
a. 0.0858, 0.0006
O b.0.8622, 0.0006
O c. NONE
O d.0.1251, 0.000045
Transcribed Image Text:The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson random variable. Assume that on the average there are 10 calls per hour. What is the probability that there are exactly 10 calls in 45 mins? What is the probability there are no calls within 45 mins? a. 0.0858, 0.0006 O b.0.8622, 0.0006 O c. NONE O d.0.1251, 0.000045
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