# Week 4 Discussion: Discrete Probability Variables

Required Resources

Read/review the following resources for this activity:

• Textbook: Chapter 4 (All Sections)
• Lesson
• Minimum of 1 scholarly source

Initial Post Instructions

Topic: Poisson Probability Distribution

The Poisson Distribution is a discrete probability distribution where the number of occurrences in one interval (time or area) is independent of the number of occurrences in other intervals.

April Showers bring May Flowers!! Research the “Average Amount of Days of Precipitation in April” for a city of your choice.

Introduce

1. Introduce the City and State. Let us know a fun fact!
2. Tell us the average number of days of precipitation in that city for the month of April.

Calculations

1. What is the probability of having exactly 10 days of precipitation in the month of April?
2. What is the probability of having less than three days of precipitation in the month of April?
3. What is the probability of having more than 15 days of precipitation in the month of April?

Analysis

Write a sentence for each of the probabilities explaining what those probabilities mean in context of days of precipitation in your chosen city.

Would any of the situations be considered unusual? Why or Why Not?

Follow-Up Post Instructions

Respond to at least two peers or one peer and the instructor. Further the dialogue by providing more information and clarification.

Here are suggested responses—

1. After reviewing the post of a peer, are you surprised by the probabilities? Why or why not?
2. Compare and contrast the probabilities of one post to the city that you analyzed. Why do you think the probabilities differ greatly or are so similar?

Writing Requirements

• Minimum of 3 posts (1 initial & 2 follow-up)
• APA format for in-text citations and list of references

Solution:

I am doing the city of brotherly love, Philadelphia. Growing up with this gem of a city as my backyard I was surprised to learn in addition to being the home of the Liberty Bell and the Declaration of Independence, Philly is also where the first hospital and medical school were. It’s known for it’s renowned medical sector, and is the site of training for 1 of every six doctors in the country.

In April 2019, 11 days was the average for precipitation ( Current Results, 2019).

The probability of having exactly 10 days of rain is 12%. See equation as follows:

P(10)=11^10(e^-11)/10! = 0.11937806 = 12%

The probability of having less than 3 days of rain is 0.1%…..

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