This is page twelve of the series of free video lessons, "Statistics Lectures".
Statistics - Lecture 34
The Poisson probability distribution is used when computing the probability of a certain number of successes within a specified interval.
An experiment follows the Poisson process if it:
1. The probability of two successes in a small enough interval is 0%.
2. The probability of a success is the same for any two intervals which share the same length.
3. Successes are independent of successes in other intervals.
Example: At a theme park, there is a roller coaster that sends an average of three cars through its circuit every minute between 6pm and 7pm. A random variable, X, represents the number of roller coaster cars to pass through the circuit between 6pm and 6:10pm.
Is this a Poisson random variable?
What is the probability that 35 cars will pass through the circuit between 6pm and 6:10pm?
Statistics - Lecture 35
Mean and Standard Deviation of Poisson Random Variables
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