Advanced Deep Learning with Python

Probability distributions

We'll start with the binomial distribution for discrete variables in binomial experiments. A binomial experiment has only two possible outcomes: success or failure. It also satisfies the following requirements:

• Each trial is independent of the others.
• The probability of success is always the same.

An example of a binomial experiment is the coin toss experiment.

Now, let's assume that the experiment consists of n trials. x of them are successful, while the probability of success at each trial is p. The formula for a binomial PMF of variable X (not to be confused with x) is as follows:

Here, is the binomial coefficient. ...