Compute the CDF of a Random Variable - Maple Programming Help

Compute the CDF of a Random Variable

 Description Compute the CDF (cumulative distribution function) of a random variable.

Define a random variable using the built-in probability distributions or by creating a custom distribution. The parameters of the distributions can be symbolic, numeric, or a mix.

 > $X:=\mathrm{Statistics}\left[\mathrm{RandomVariable}\right]\left(\mathrm{Weibull}\left({a},{b}\right)\right):$

Evaluate the CDF of the random variable at a point. The point can be numeric or symbolic.

 > $s:=\mathrm{Statistics}\left[\mathrm{CDF}\right]\left(X,{t}\right)$
 $\colorbox[rgb]{0,0,0}{{s}}\colorbox[rgb]{0,0,0}{{:=}}\colorbox[rgb]{0,0,0}{{{}}\begin{array}{cc}\colorbox[rgb]{0,0,0}{{0}}& \colorbox[rgb]{0,0,0}{{t}}\colorbox[rgb]{0,0,0}{{<}}\colorbox[rgb]{0,0,0}{{0}}\\ \colorbox[rgb]{0,0,0}{{1}}\colorbox[rgb]{0,0,0}{{-}}{\colorbox[rgb]{0,0,0}{{ⅇ}}}^{\colorbox[rgb]{0,0,0}{{-}}{\left(\frac{\colorbox[rgb]{0,0,0}{{t}}}{\colorbox[rgb]{0,0,0}{{a}}}\right)}^{\colorbox[rgb]{0,0,0}{{b}}}}& \colorbox[rgb]{0,0,0}{{\mathrm{otherwise}}}\end{array}$ (1)
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