Discrete Probability Variables

Required Resources

Save Time On Research and Writing
Hire a Pro to Write You a 100% Plagiarism-Free Paper.
Get My Paper

Read/review the following resources for this activity:

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

EBOOK: OpenStax, Introductory Statistics. OpenStax CNX. Aug 23, 2019

https://openstax.org/books/introductory-statistics/pages/1-introduction

Initial Post Instructions

Topic: Poisson Probability Distribution

Save Time On Research and Writing
Hire a Pro to Write You a 100% Plagiarism-Free Paper.
Get My Paper

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?

Criteria

Initial Post Content: Addresses all aspects of the initial discussion question(s), applying experiences, knowledge, and understanding regarding all weekly concepts.

Evidence & Sources: Integrates evidence to support discussion from assigned readings** OR online lessons, AND at least one outside scholarly source.*** Sources are credited.*

Professional Communication: Presents information using clear and concise language in an organized manner (minimal errors in English grammar, spelling, syntax, and punctuation).

Notes

Credited means stating where the information came from (specific article, text, or lesson). Examples: our text discusses…., The information from our lesson states…, Smith (2010) claimed that…, Mary Manners (personal communication, November 2017)…

**Assigned readings are those listed on the syllabus or assignments page as required reading. This may include text readings, required articles, or required websites.

***Scholarly source – per APA Guidelines, only scholarly sources should be used in assignments. These include peer-reviewed publications, government reports, or sources written by a professional or scholar in the field. Wikipedia, Wikis, .com websites or blogs should not be used as anyone can add information to these sites. For the discussions, reputable internet sources such as websites by government agencies (.gov) and respected organizations (.org) can be counted as scholarly sources. Outside sources do not include assigned required readings.

EXAMPLE:

I chose my neighboring town of Crystal Lake, IL Some history: The present day city of Crystal Lake was originally known as Crystal Ville. It was first settled in February 1836. Beman and Polly Crandall from New York were the first settlers of the area. It was renamed Crystal Lake around 1840. The area which is now downtown Crystal Lake was originally known as the Village of Dearborn.

I found that it rained on 5 days in April 2020. 

https://weatherspark.com/m/13433/4/Average-Weather-in-April-in-Crystal-Lake-Illinois-United-States (Links to an external site.)

Now I need to calculate some probabilities using Poisson.

In probability theory (Links to an external site.) and statistics (Links to an external site.), the Poisson distribution (French pronunciation: ​[pwasɔ̃] (Links to an external site.); in English often rendered /ˈpwɑːsɒn/ (Links to an external site.)), named after French (Links to an external site.) mathematician Siméon Denis Poisson (Links to an external site.), is a discrete probability distribution (Links to an external site.) that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant rate and independently (Links to an external site.) of the time since the last event.

The POISSON.DIST function syntax has the following arguments:

  • X The number of events.
  • Mean The expected numeric value.
  • Cumulative  A logical value that determines the form of the probability distribution returned. If cumulative is TRUE, POISSON.DIST returns the cumulative Poisson probability that the number of random events occurring will be between zero and x inclusive; if FALSE, it returns the Poisson probability mass function that the number of events occurring will be exactly x.

Example – What is the probability of having exactly 10 days of rain in April?

Solution: 

X = 10

Mean = 4

Cumulative = False

Probability of the event to occur three times: P(10;4) = 410e−4 /10! = 0.005292

Using Excel:  =POISSON.DIST(10,4,0) and the value returned is: 0.005292

Order a unique copy of this paper
(550 words)

Approximate price: $22

Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

It's no longer good enough to create a high-quality product at a reasonable cost.
That is why we have created 9 compelling warranties to make your usage of our service pleasant, simple, and secure.

Money-back guarantee

You must be completely confident in the quality of your products in order to provide a money-back guarantee. This is precisely how custom paper writing services work. We double-check that there are no hidden issues with this promise and that you are completely happy with the quality of your purchase.

Read more

Zero-plagiarism guarantee

Our writers do not employ others’ writing tricks, because we are aware that plagiarism may cost a lot to our clients and take away their reputation.

Read more

Free-revision policy

We want you to be satisfied with your order, so we offer a free revision policy. If you are not completely happy with your order, let us know and we will revise it for free.

Read more

Privacy policy

We care about our customers and always strive to keep their trust. That’s why Customwritingspapers.com guarantees privacy and safety of your personal information. To ensure total security, we take the following measures:

Read more

Professional Editors

Our team of editors works tirelessly to ensure that all papers meet our high standards for quality. They check for the instructions, grammar, punctuation, and spelling mistakes as well as for plagiarism.

Read more

Fair-cooperation guarantee

We would never want to jeopardize our relationship with you, and that is why we offer a fair-cooperation guarantee: If for any reason you are not satisfied with your order, you can always get your money back.

Read more

Professional Writers

We only hire the best, most qualified professionals to work on your order. Each writer is a degree holder with extensive experience in their field. You can be assured that your project will be handled by a true expert.

Read more

Quality Control

Our quality assurance department ensures that each paper is of excellent quality before it is sent to you. You can be sure that your paper will meet all of the requirements that you set. Our experts are highly skilled and will follow your specific instructions to the letter.

Read more

Customer support

We have a highly professional and qualified customer support team that is available 24/24, 365 days a year. They will be more than happy to answer any questions or concerns that you may have about our company or products. You can contact them by phone, email, or chat on our website.

Read more

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Open chat
1
Order through WhatsApp!
customwritingspapers.com
Hello!
You Can Now Place your Order through WhatsApp

Order your essay today and save 30% with the discount code DISCOUNT2022