64. An internal study by the TechnologyServices department at Lahey Electronics
ID: 2916954 • Letter: 6
Question
64. An internal study by the TechnologyServices department at Lahey Electronics revealed
company employees receive an average of two emails per hour.Assume the arrival of
these emails is approximated by the Poisson distribution.
a. What is the probability Linda Lahey, companypresident, received exactly 1 email
between 4 P.M. and 5 P.M. yesterday?
b. What is the probability she received 5 ormore email during the same period?
c. What is the probability she did not receiveany email during the period?
Explanation / Answer
what is the probability that Linda Lahey, company president, received exactly 1 email between 4pm and 5pm yesterday? P(1,2) = [e^(-2)*2^1]/1! = 2e^(-2) = 0.2707 Using a TI calculator you would get poissonpdf(2,1) = 0.27069.. ==================== b. what is the probability she received 5 or more email during the same period? 1-poissoncdf(2,4)=0.05265... ==================== c. what is the probability she did not receive any email during the period? poissonpdf(2,0) = 0.13534
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