# SOCR EduMaterials Activities Poisson Distribution

(Difference between revisions)
 Revision as of 00:24, 29 December 2006 (view source)IvoDinov (Talk | contribs)← Older edit Revision as of 00:40, 29 December 2006 (view source)Nchristo (Talk | contribs) (→This is an activity to explore the Poisson Probability Distribution.)Newer edit → 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}} [/itex] [/itex]

## 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.