# MATH399 Week 4 Assignment Poisson Distribution (July 2019)

MATH 399 Applied Managerial Statistics

Week 4 Assignment Poisson Distribution

QuestionOn average, Charles has noticed that 13 trains pass by his house daily (24 hours) on the nearby train tracks. What is the probability that more than 5 trains will pass his house in a 8 hour time period? (Round your answer to three decimal places.)

QuestionJerry has a bird feeder which is visited by an average of 14 birds every 2 hours during daylight hours. What is the probability that the bird feeder will be visited by more than 2 birds in a 25 minute period during daylight hours?

QuestionA bakery gets an average of 20 phone orders in a 2 hour time period. In order to find the probability that the bakery will get exactly 2 phone orders in a 15 minute period using the Poisson distribution, what is the average number of phone orders per 15 minutes?

QuestionOn average, Ruth has noticed that 20 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 4 trucks will pass her apartment in a 6 hour time period using the Poisson distribution, what is the average number of trucks per 6 hours?

QuestionChristine has a motion detector light which gets activated an average of 16 times every 2 hours during the night. In order to find the probability that the motion detector light will be activated more than 4times in a 25 minute period during the night using the Poisson distribution, what is the average number of activations per 25 minutes?