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1. An internal study by the Technology Services department at Lahey Electronics revealed company employees receive...

1. An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of 6.0 non-work-related e-mails per hour. Assume the arrival of these e-mails is approximated by the Poisson distribution.

a) What is the probability Linda Lahey, company president, received exactly 2 non-work-related e-mails between 4 P.M. and 5 P.M. yesterday? (Round your probability to 4 decimal places.)

b)What is the probability she received 7 or more non-work-related e-mails during the same period? (Round your probability to 4 decimal places.)

c)What is the probability she did not receive any non-work-related e-mails during the period? (Round your probability to 4 decimal places.)

Math   Statistics-And-Probability   
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Answer #1

Let X be the random variable denoting the number of non-work related emails received per hour.

X ~ Poi(6)

a) The probability that the company preseident received exactly 2 non-work related emails = P(X = 2) = = 0.0446

b) The probability that she received 7 or more non-work related emails = P(X 7) = = 0.3937

c) The probability that she did not receive any non-work related emails = P(X = 0) = = 0.0025

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