Question

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.)

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