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Assignment #4 Use loops, rand( ) and do some analysis of the randomness of rand( ) Solution

Purpose: Use loops, rand( ) and do some analysis of the

         randomness of rand( ).

 Write a program that will simulate the following random

  events using the rand( ) function in the C standard

  libraries. We are interested in determining if rand( )

  really seems to produce a random set of values. To do this

  we will repeat the event a certain number of times and see

  how often we get each of the possible results. If rand( )

  is truly random, and our mapping to the possible results is

  uniform, our results should be equally likely and therefore

  evenly distributed across all possible results.

 

  The two events will be:

      1) Flipping a coin

      2) Rolling a six-sided die

 

  Repeat each event:

        1) 10

        2) 100

        3) 1000

        4) 10,000

        5) 100,000  times

 

  Within each set of repetitions, count how often each result

  occurs. Then compute the percentage of the total events

  were represented by each result.

 

  Ex:

    Coin:

    ----

      Flips: 10       Heads: 40%

                      Tails: 60%

 

    Die:

    ----

      Rolls: 10       1: 10%

                      2:  0%

                      3: 20%

                      4: 30%

                      5: 30%

                      6: 10%

 

              ...

 

    Coin:

    ----

      Flips: 100000   Heads: 49%

                      Tails: 51%

 

    Die:

    ----

      Rolls: 100000   1: 17%

                      2: 18%

                      3: 17%

                      4: 17%

                      5: 17%

                      6: 16%

 

 

 

  Notes:

  -----

  - Do not "randomly" seed the rand( ) function, we are

    interested in repeatability.

  - No inputs are necessary.

  - Gradually develop your program in steps

 

  - There is a "Supplement" posted on Otto that discusses

    the rand( ) function and there are "Random_.c examples

    in the examples directory.

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