Binomial, Geometric and Poisson distributions in excel

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Binomial, Geometric and Poisson Distributions with Excel

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  • Professor,
    When I tried to work within the student excel program, my computer sent me a pop up and not allowing me to unprotect the sheet. The pop up tells me I have to purchase a licensed copy of Microsoft Office. I currently have the Microsoft Office 2007 on my computer. I'd like to work in the student site with the templates you are referencing. What do I do to be able to access the student site?
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Binomial, Geometric and Poisson distributions in excel

  1. 1. Binomial, Geometric and Poisson Distributions in Excel B. Heard (Not to be posted, used, etc. without my permission, students may download one copy for personal use)
  2. 2. Binomial, Geometric and Poisson Distributions with Excel What I am about to show you, will amaze you. However…  If your instructor has told you that you MUST use Minitab, I can’t change that requirement  You could still use these “Magic Calculators” to check your work.  I think it is important for you to be familiar with Excel, since that is what you have access to in the work environment (Microsoft Excel)
  3. 3. Binomial, Geometric and Poisson Distributions with Excel Before we start, follow these instructions carefully  Go to http://highered.mcgraw- hill.com/sites/0070620164/student_view0/excel_tem plates.html  A picture follows on the next page
  4. 4. Binomial, Geometric and Poisson Distributions with Excel This is what it should look like, it is a long page, I couldn’t capture it all…
  5. 5. Binomial, Geometric and Poisson Distributions with Excel Now click on the link that says “Binomial” Choose/Click “Open” 1 2
  6. 6. Binomial, Geometric and Poisson Distributions with Excel When it opens, click on the “Review” tab and then click “Unprotect Sheet” – You must do this step1 2
  7. 7. Binomial, Geometric and Poisson Distributions with Excel Now save your Excel Workbook file as something like “Binomial_Calculator” Let’s finish setting up our calculators
  8. 8. Binomial, Geometric and Poisson Distributions with Excel Now go back to the webpage
  9. 9. Binomial, Geometric and Poisson Distributions with Excel Now click on the link that says “Geometric” Choose/Click “Open” 1 2
  10. 10. Binomial, Geometric and Poisson Distributions with Excel When it opens, click on the “Review” tab and then click “Unprotect Sheet”1 2
  11. 11. Binomial, Geometric and Poisson Distributions with Excel Now save your Excel Workbook file as something like “Geometric_Calculator” We need to add one more
  12. 12. Binomial, Geometric and Poisson Distributions with Excel Now go back to the webpage
  13. 13. Binomial, Geometric and Poisson Distributions with Excel Now click on the link that says “Poisson” Choose/Click “Open” 1 2
  14. 14. Binomial, Geometric and Poisson Distributions with Excel When it opens, click on the “Review” tab and then click “Unprotect Sheet”1 2
  15. 15. Binomial, Geometric and Poisson Distributions with Excel Now save your Excel Workbook file as something like “Poisson_Calculator” Let’s use our new calculators now
  16. 16. Binomial, Geometric and Poisson Distributions with Excel Binomial Distribution Example
  17. 17. Binomial, Geometric and Poisson Distributions with Excel Page 204, Example 2, a binomial
  18. 18. Binomial, Geometric and Poisson Distributions with Excel Open your Excel File “Binomial_Calculator” Input 3 for n and 0.75 for p and hit ENTER
  19. 19. Binomial, Geometric and Poisson Distributions with Excel IMPORTANT  DON’T FORGET TO HIT THE ENTER KEY OR CLICK ON ANOTHER CELL AFTER YOU INPUT YOUR VALUE  DO NOT MESS WITH THE REST OF THE SHEET, ONLY INPUT INTO GREEN CELLS I NOTE, YOU WILL HAVE TO DOWNLOAD IT AGAIN IF YOU INADVERTENTLY CHANGE A CELL THAT IS USED FOR CALCULATIONS
  20. 20. Binomial, Geometric and Poisson Distributions with Excel Note this calculator also gives me the mean, variance and standard deviation of the binomial with an n of 3 and p of 0.75The probability ofexactly 2 is to theright of 2 underthe P(exactly x)columnCheck the book,we nailed it! Ouranswer is 0.4219.they noted 0.422(they justrounded)
  21. 21. Binomial, Geometric and Poisson Distributions with Excel Geometric Distribution Example
  22. 22. Binomial, Geometric and Poisson Distributions with Excel Page 218, Example 1, a geometric
  23. 23. Binomial, Geometric and Poisson Distributions with Excel Open your Excel File “Geometric_Calculator” Input 0.74 for p and hit ENTER
  24. 24. Binomial, Geometric and Poisson Distributions with Excel The question was to find the probability that he hits his first free throw on the third or fourth attempt so we have to add the results for exactly 3 and exactly 4 which is 0.0500 + 0.0130 = 0.0630 Again we nailed it! Note you are given the mean, variance and standard deviation of a geometric distribution with p = 0.74 above also.
  25. 25. Binomial, Geometric and Poisson Distributions with Excel Poisson Distribution Example
  26. 26. Binomial, Geometric and Poisson Distributions with Excel Page 220, Example 3, a Poisson example (It is pronounced “Poy-zahn”)
  27. 27. Binomial, Geometric and Poisson Distributions with Excel Open your Excel File “Poisson_Calculator” Input 3.6 for the Mean and hit ENTER
  28. 28. Binomial, Geometric and Poisson Distributions with Excel The question was to find the probability that 7 rabbits would be found (based on a Poisson distribution with an average of 3.6) Look to the right of 7 and under P(Exactly x) to see 0.0425 is the answer. Nailed it! Note you are given the variance and standard deviation of a Poisson distribution with Mean = 3.6 above also. What is the Mean? You input it! It’s 3.6, note the Variance = Mean on a Poisson distribution and the standard deviation is just the square root of that number.
  29. 29. Binomial, Geometric and Poisson Distributions with Excel The P(At most x) and P(At least x) are very valuable also. Let’s take a look at the last problem again where we were looking for rabbits (Poisson) in a field where an average of 3.6 rabbits/acre were living.
  30. 30. Binomial, Geometric and Poisson Distributions with Excel To the right of 4 and under P(At most x) would give us the answer to a question that could be asked a couple of ways: What is the probability that no more than 4 rabbits were living on a given acre? 0.7064 What is the probability that less than 5 ( P(x<5) ) rabbits were living on a given acre? 0.7064 Basically it gives us P(x≤4) or P(x<5)
  31. 31. Binomial, Geometric and Poisson Distributions with Excel To the right of 6 and under P(At least x) would give us the answer to a question that could be asked a couple of ways: What is the probability that more than 5 rabbits ( P(x>5) ) were living on a given acre? 0.0733 What is the probability that at least 6 rabbits were living on a given acre? 0.0733 Basically it gives us P(x≥6) or P(x>5) BASED ON THE MEAN WE INPUT
  32. 32. Binomial, Geometric and Poisson Distributions with Excel Good luck, I hope this helps. If you enjoy reading the humor of an absent minded math professor, come be a fan at www.facebook.com/cranksmytractor or visit me at www.CranksMyTractor.com where I write about everyday things I come across… My best to you all… “Statistics do not lie, but people do.”

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