A series of free Statistics Lectures with examples & solutions in videos.

These lectures discuss the Poisson distribution.

This is page twelve of the series of free video lessons, "Statistics Lectures".

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?

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