Types of Discrete Probability Distribution
The different types of discrete probability distribution are listed below.
Bernoulli Distribution
A discrete probability distribution with the probability of success p if the value of random variable is 1 and the probability of failure 1-p if the value of random variable is zero is called the Bernoulli distribution. The probability mass function of the Bernoulli distribution is given by:
P (X = x) = [Tex]\bold{\begin{cases} \bold{p, \hspace{0.1cm} x = 1}\\ \bold{1-p, \hspace{0.1cm} x = 0} \end{cases}}[/Tex]
Binomial Distribution
A discrete probability distribution that includes the number of trials n, probability of success and probability of failure is called as Binomial distribution. The probability mass function of the Binomial distribution is given by:
P (X = x) = nCx px (1-p) n-x
Poisson Distribution
A discrete probability distribution that gives the number of events occurred at a specific time period with the help of its mean is called as the Poisson distribution. The probability mass function of Poisson distribution is given by:
P (X = x) = [ƛx × e-ƛ] / x!
Geometric Distribution
A discrete probability distribution that includes the successive failure probability until the success probability is encountered is called as Geometric distribution. The probability mass function of the geometric distribution is given by:
P (X = x) = (1 – p) xp
Discrete Probability Distribution
Discrete probability distribution counts occurrences with finite outcomes. The common examples of discrete probability distribution include Bernoulli, Binomial and Poisson distributions.
In this article we will explore discrete probability distribution along with discrete probability distribution definition, discrete probability distribution condition and discrete probability distribution formulas.
Table of Content
- What is Discrete Probability Distribution?
- Conditions for Discrete Probability Distribution
- Discrete Probability Distribution Formulas
- Discrete Probability Distribution Mean
- Discrete Probability Distribution Variance
- How to Find Discrete Probability Function
- Types of Discrete Probability Distribution