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(Answer) MATH399N – 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.

In your initial post,

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.
  3. Cite your Source

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?

ANSWER:

I live in New York and a fun fact about New York is more than 800 languages are spoken in New York City making the most linguistically diverse city in the world.  In April 2020 the average number of days we had precipitation was 11.5 days as per the Weather Atlas, 2020.

The Probability of 10 having exactly 10 days of rain in April would be 10 divided by 30 days of the month. That gives up 0.33 repeating we then multiply it by 100 to get the percentage. The probability of having rain 10 days in April is 33.3 %

The Probability of having less than 3 days of rain in April 2020 we would take 3 divided by the total number of days in … To continue reading, click on the button below.

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