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·       Format:

The discrete uniform distribution can be constructed with Crystal Ball's Custom distributionDiscrete Uniform ({xi}), i = 1 to n

·       Probability mass function:

 

LaTeX Math Inline
bodyf(x_i)=1/n

 

·       Cumulative distribution function:

 

LaTeX Math Inline
bodyF(x)=i/n

 

if 

LaTeX Math Inline
bodyx_i \leq x < x_{i+1}
assuming the xi"s are in ascending order

·       Parameter restrictions:

LaTeX Math Inline
bodyn>0

·       Domain: 

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

·       Mean:


LaTeX Math Inline
body\displaystyle \sum_{i=1}^ n (x_i)/n

·       Mode: 

Not uniquely defined

·       Variance:

 

LaTeX Math Inline
body\frac{1}{n} \displaystyle \sum_{i=1}^ n x_i ^2 - \mu

 

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