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MATH399N Week 4 Assignment: Poisson Distribution

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MATH399N Week 4 Assignment: Poisson Distribution

Question

On average, Ruth has noticed that 20 trains pass by her house daily (24 hours) on the nearby train tracks. What is the probability that at most 5 trains will pass her house in a 7 hour time period?

  • Round the final answer to three decimal places.

Answer: 

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

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

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

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.

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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

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.

Question

Mark receives 10 calls in 3 days on average. How many calls does he receive in 5 days on average?

Question

Identify the parameters in the following situation.

When Jackie is camping, she sees 6 shooting stars every hour, on average. What is the probability that she sees exactly 4 shooting stars in the next hour?

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