Probability Values 

Function: calc[ProbTable] -  displays probability P(`<=`(X, x))  

Calling Sequence:  

ProbTable
Parameters:  

D - list, the first entry is the name of the distribution, the remaining entries are the parameters 

L -  list, the entry is x = x[1] or  

Description: 

  • ProbTable displays the probabilityp that `<=`(X, x) when x = x[1] is given or x when p = p[1] is given.
    Distributions covered are:
    Normal Uniform Exponential Gamma ChiSquare StudentT nu FRatio nu[1], nu[2] LogNormal Weibull alpha, beta, Gumbel Logistic mu, beta, Binomial n, p, Poisson lambda
    Note: If Maple happens to return the fsolve command unevaluated, add a range for x and then execute the fsolve command
 

Examples: 

> restart: with(calc):
 

> p=ProbTable([Normal,0,1],x=1.96);
 

p = .9750021049
 

> p=ProbTable([Weibull,3,4],x=3);
 

p = .6321205588
 

> p=ProbTable([Binomial,9,0.35],x=4);
 

p = .8282807145
 

> x=ProbTable([Normal,0,1],p=0.975);
 

x = 1.959963985
 

> x=ProbTable([Weibull,3,4],p=0.6321);
 

x = 2.999958087
 

> x=ProbTable([Binomial,9,0.35],p=0.8283);
 

x = 4.000115174
 

> x=ProbTable([Normal,10,2],p=0.95);
 

x = 13.28970725
 

> x=ProbTable([LogNormal,1,0.2],p=0.05);
 

x = 1.956249803
 

> x=ProbTable([FRatio,8,6],p=0.95);
 

x = 4.146804162