SOCR EduMaterials Activities Poisson Distribution

From Socr

(Difference between revisions)
Jump to: navigation, search
(This is an activity to explore the Poisson Probability Distribution.)
Line 24: Line 24:
* SOCR Home page: http://www.socr.ucla.edu
* SOCR Home page: http://www.socr.ucla.edu
-
{{translate|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=SOCR_EduMaterials_Activities_ConfidenceIntervals}}
+
{{translate|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=SOCR_EduMaterials_Activities_Poisson_Distribution}}
</math>
</math>

Revision as of 00:40, 29 December 2006

This is an activity to explore the Poisson Probability Distribution.


  • Exercise 1: Use SOCR to graph and print the distribution of a Poisson random variable with λ = 2. What is the shape of this distribution?
  • Exercise 2: Use SOCR to graph and print the distribution of a Poisson random variable with λ = 15. What is the shape of this distribution? What happens when you keep increasing λ?
  • Exercise 3: Let  X \sim Poisson(5) . Find  P(3 \le X < 10) , and  P(X >10 | X \ge 4) .
  • Exercise 4: Poisson approximation to binomial: Graph and print  X \sim b(60, 0.02) . Approximate this probability distribution using Poisson. Choose three values of X and compute the probability for each one using Poisson and then using binomial. How good is the approximation?


Below you can see the distribution of a Poisson random variable with λ = 5. In this graph you can also see the probability that between 2 and 5 events will occur.







Translate this page:

(default)

Deutsch

Español

Français

Italiano

Português

日本語

България

الامارات العربية المتحدة

Suomi

इस भाषा में

Norge

한국어

中文

繁体中文

Русский

Nederlands

Ελληνικά

Hrvatska

Česká republika

Danmark

Polska

România

Sverige

</math>

Personal tools