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·       Format:

Discrete ({xi},{pi}), i = 1 to n

·       Probability mass function:


·       Cumulative distribution function:

F(x)= \displaystyle\sum_{j=1}^i p_j

if  x_i \leq x < x_{i+1}assuming the xi"s are in ascending order

·       Parameter restrictions:

p_i \geq 0, n >0, \displaystyle \sum_{i=1}^ n p_i >0

·       Domain: 

x = {x1, x2, ...xn}

·       Mean:

No unique mean

·       Mode: 

The xi with the greatest pi

·       Variance:

\displaystyle\sum_{i=1}^{n} (x_i- \bar{x})^2 p_i



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