# MATH399N Week 4 Assignment: Poisson Distribution

## 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.

**.**

**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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