# Statistics Lectures - 11

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

These lectures introduce the law of large numbers and discuss the binomial distribution.

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

### Statistics - Lecture 31

The Law of Large Numbers
As a probability experiment is performed many times, the observed value (mean)with arrive at the expected value (mean).

### Statistics - Lecture 32

Binomial Distribution
An experiment is a binomial experiment if:
1. It is repeated a fixed number of times.
2. The trials are independent.
3. Trials have two mutually exclusive outcomes, either success or failure.
4. The probability of success is the same for all trials.

### Statistics - Lecture 33

Mean and Standard Deviation of Binomial Random Variables
Example:
In a recent survey, it was found that 85% of households in the United States have High-speed Internet. If you take a sample of 18 households, what is the probability that exactly 15 will have High-Speed Internet?

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