15 Poisson

# 15 Poisson - The Poisson Distribution The Poisson...

This preview shows pages 1–5. Sign up to view the full content.

1/5/10 The Poisson Distribution The Poisson Distribution is another extremely important distribution in Probability and Statistics. It is especially important for Industrial Engineers for reasons that will become apparent. The distribution was discovered by Siméon-Denis Poisson (1781–1840)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
1/5/10 Relation to Binomial The Poisson distribution is derived from the Binomial by letting N¸ 1 and p&0 but all the time keeping Np=& constant. For example: N 10 100 1000 10,000 ----------------------------------------- ....... & = 1 always
1/5/10 Mean and Variance The mean and variance of the Poisson can be shown (after a lot of tedious math) to be: E(X) = & and V(X) = 1 λ = = = - = - = = = = - = - - = - = - = - ) 1 ( ! ) ( ! ) 1 ( ! ) 1 ( ! ! ) ( 0 1 1 1 1 0 k k j j j j j j j j k e j e j e j je j je X E

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
1/5/10 Example Suppose 100 chips are manufactured on a line which has historically produced 5% defective chips. What is
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 01/04/2010 for the course STATS 1100 taught by Professor Rodriguez during the Spring '08 term at Pittsburgh.

### Page1 / 10

15 Poisson - The Poisson Distribution The Poisson...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online