Given that there are two types of random variables (discrete and continuous), we have two types of distributions:

1. Discrete probability distributions, and

2. Continuous probability distributions (also known as probability
density function, or density function, or just density).

Examples of discrete probability distributions include:

a. Uniform

b. Binomial

c. Poisson

d. Hypergeometric

e. Others

Examples of continuous probability distributions include:

a. Uniform

b. Normal

c. Exponential

d. Gamma

e. Others

Anderson, D.R., D.J. Sweeny, and T.A. Williams (1999): Statistics for Business and Economics. South--Western.

Mood, A.M., F.A. Graybill, and D.C. Boes (1974): Introduction to the Theory of Statistics. Third Edition. McGraw-Hill.