illustrative abstractions

0%

# Poisson Distribution (Continued)

As stated in the previous post,

Let

For Binomial Distribution,

Thus,

The positive real number $\lambda$ is equal to the expected value and also its variance.

# Gaussian Distribution (Normal Distribution)

## Probability Density Function

Given $\mu = E(X)$ and $\sigma^2 = Var(X)$,

A standard normal distribution follows $\mu = 1$ and $\sigma^2 = 1$

## Cumulative Distribution Function

Cumulative Distribution Function, or $F(x)$ is the probability that $X \leq x$.