Term
Probability Distribution of a random variable 

Definition
The probability distribution of a random variable X is a description of the probabilities associated with the possible values of X. For a discrete random variable, the distribution is often specified by just a list of the possible values along with the probability of each.
In some cases, it is convenient to express the probability in terms of a formula. 


Term
Probability of a Discrete Variable X with possible values x1, x2,..., Xn... 

Definition


Term
The cumulative distribution function of a discrete random variable X, denoted as F(x), is 

Definition


Term
The mean, expected value, variance and standard deviation of a discrete random variable X is: 

Definition


Term
What is a discrete Uniform Function? 

Definition


Term
Mean of a discrete uniform random variable X: 

Definition


Term
Mean of X when X is a discrete uniform random variable on the consequtive integers a, a+1, a+2, .....b for a less than or equal to b 

Definition


Term

Definition


Term
The mean and variance of a binomial random variable 

Definition


Term
Geometric probability distribution function 

Definition


Term
The mean and variance of a geometric distribution 

Definition


Term
Negative Binomial Distribution 

Definition
A generalization of a geometric distribution in which the random variable is the number of
Bernoulli trials required to obtain r successes results in the negative bionmial distribution 


Term
Probability Distribution Function of a negative binomial distribution: 

Definition


Term
Mean and Variance of a binomial distribution function 

Definition


Term
Probability function of Hypergeometric distribution (
samples are selected without replacement) 

Definition


Term
Mean and Variance of a Hypergeometric distribution 

Definition


Term
For a hypergeometric random variable, E(x) is similar to the mean a binomial random variable. Also, V(x) differs from the result for a binomial random variable only by the term shown below. 

Definition


Term
Function of Poisson probability distribution 

Definition


Term
Mean and Variance of Poisson distribution function: 

Definition

