**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?

â€¢ Be sure to round your answer to three significant figures.

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?

â€¢ Round your answer to one decimal place.

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?

â€¢ Round your answer to three decimal places.

QuestionElizabeth gets an average of 10 emails during her 8 hour work day. In order to find the probability that Elizabeth will get more than 3 emails in a 3 hour portion of her work day using the Poisson distribution, what is the average number of emails received per 3 hours?

â€¢ Round your answer to two decimal places.

QuestionJustin has a bird feeder which gets visited by an average of 18 birds every 2 hours during daylight hours. What is the probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours? (Round your answer to three decimal places.)

QuestionNick gets an average of 18 calls during his 8 hour work day. What is the probability that Nick will get exactly 10 calls in a 5 hour portion of his work day? (Round your answer to three decimal places.)