01

                             PROBABILITY FUNCTIONS


   This program enables you to compute a variety of probability statistics
   or related functions. All input is from the keyboard so no data file is
   needed. 

   You will be presented with a menu from which you can select the desired
   function by pressing the lower case letter beside the option which you
   wish to use.

   All output is sent to the screen. However, you can use the "PrtSc" pro-
   cedure to obtain a hard copy if desired.
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02

                             INPUT AN INTEGER VALUE

   If you will enter an integer value its factorial will be computed and
   reported to you. If you enter a negative value, it will be converted to
   a positive integer.

   If you wish to exit you may enter an * and press <cr>.
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03

                         PERMUTATIONS AND COMBINATIONS

   Enter the value of n and press <cr>. Then enter the value of r and press
   <cr>. The number of permutations and combinations will be computed for
   n things taken r at a time.

   If you wish to exit you may enter an * and press <cr>.
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04

                         T- AND Z-RATIO PROBABILITIES

   If you have a t- or z-statistic, enter the number of degrees of freedom. 
   The one- and two-tailed probability will then be computed and reported. 

   If you wish to exit you may enter an * and press <cr>.
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05 

                             F-RATIO PROBABILITIES

   Enter dfn = degrees of freedom for the numerator and press <cr>. Then 
   enter dfd = degrees of freedom for the denominator and press <cr>. Enter
   next the value of the F-statistic and press <cr>. The probability for
   the upper tail of the F-distribution will then be reported to you.

   If you wish to exit you may enter an * and press <cr>.
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06

                            BINOMIAL PROBABILITIES

   Enter n = an interger and press <cr>.  Enter r = an integer less than n 
   and press <cr>. Then enter p = the probability for of a successful outcome
   ( 0.0 >= p <= 1.0 ). The results reported are the probability at x = r and
   the cumulative probability for x >= r.

   If you wish to exit you may enter an * and press <cr>.
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07

                             POISSON PROBABILITIES
  
   Enter m = the mean and press <cr>. Enter x = a value in the distribution.
   The results reported are the probability of obtaining x and the probability
   of obtaining a value of x or greater. 

   If you wish to exit you may enter an * and press <cr>.
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08

                              GEOMETRIC PROBABILITY

   Enter n = the number of trials until the first success is observed (must
   be an interger) then press <cr>. Enter p = the probability of a successful 
   outcome ( 0.0 >= p <= 1.0 ). The results reported are the probability at 
   x = n and the cumulative probability from x to n.

   If you wish to exit you may enter an * and press <cr>.
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09

                           HYPERGEOMETRIC PROBABILITIES

   Enter N = the total number of elements, press <cr>.  Enter r = the total 
   number of successes in the N elements, press <cr>.  Enter n = the number
   of elements drawn from N, press <cr>. Enter x = the number of successes
   that were drawn from n then press <cr>. The results reported are the prob-
   ability at x and the cumulative probability for x through n.

   If you wish to exit you may enter an * and press <cr>.
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10

                             EXPONENTIAL PROBABILITY

   Enter the mean and x = the point at which you wish the probability to be
   computed at. Note that the results for a continous random variable is
   reported in terms of area. The area beyond x and the area below x are 
   reported.  

   If you wish to exit you may enter an * and press <cr>.
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11

                              CHI-SQUARE PROBABILITY

   Enter the degrees of freedom, df, and press <cr>. Then enter the value
   of Chi-square and press <cr>. The reported probability is area in the
   upper tail of the Chi-square distribution.

   If you wish to exit you may enter an * and press <cr>.
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12
re
   that you are using the proper file ty