# CDF

CDF[dist,x]

gives the cumulative distribution function for the symbolic distribution dist evaluated at x.

CDF[dist,{x1,x2,}]

gives the multivariate cumulative distribution function for the symbolic distribution dist evaluated at {x1,x2,}.

CDF[dist]

gives the CDF as a pure function.

# Details

• CDF[dist,x] gives the probability that an observed value will be less than or equal to x.
• CDF[dist,x] is equivalent to Probability[ξx,ξdist].
• CDF[dist,{x1,,xn}] is equivalent to Probability[ξ1x1ξnxn,{ξ1,,ξn}dist].
• CDF[dist,x] is equivalent to 1-SurvivalFunction[dist,x].

# Examples

open allclose all

## Basic Examples(4)

The CDF of a univariate continuous distribution:

 In[1]:=
 Out[1]=
 In[2]:=
 Out[2]=

The CDF of a univariate discrete distribution:

 In[1]:=
 Out[1]=
 In[2]:=
 Out[2]=

The CDF of a bivariate continuous distribution:

 In[1]:=
 Out[1]=

The CDF for a multivariate Poisson distribution:

 In[1]:=
 Out[1]=

# Tutorials

Introduced in 2007
(6.0)
| Updated in 2010
(8.0)