[Solved] MATH399N Week 4 Assignment: Poisson Distribution

Question

A restaurant gets an average of 12 phone orders in a 2 hour time period. In order to find the probability that the restaurant will get exactly 2 phone orders in a 30 minute period using the Poisson distribution, what is the average number of phone orders per 30 minutes?

Question

Christine 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 4 times in a 25 minute period during the night using the Poisson distribution, what is the average number of activations per 25 minutes?

  • Round your answer to three decimal places.

Question

Stephanie gets an average of 11 calls during her 8 hour work day. What is the probability that Stephanie will get more than 4 calls in a 2 hour portion of her work day? (Round your answer to three decimal places.)

Question

Justin 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.)

Question

Elizabeth 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?

  • Round your answer to two decimal places.

Question

A 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?

  • Round your answer to one decimal place.

Question

On average, Ruth has noticed that 19 trains pass by her house daily (24 hours) on the nearby train tracks. What is the probability that more than 4 trains will pass her house in a 4 hour time period?

  • Round the final answer to three decimal places.

Question

Jerry 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?

  • Be sure to round your answer to three significant figures.

 

 

 

Solution

Question

A restaurant gets an average of 12 phone orders in a 2 hour time period. In order to find the probability that the restaurant will get exactly 2 phone orders in a 30 minute period using the Poisson distribution, what is the average number of phone orders per 30 minutes?

Ans: λ=12(30)120=3.……………..please follow the link below to purchase the solution at $4