CLASSWORK 2                                 9/07/2006       
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1. Calculate the probability content of the Gaussian confidence
   intervals [-n*sigma,+n*sigma] for n=1, 2, 3, 4, and 5 to an
   accuracy which allows you to identify three relevant digits
   in q=one-p. Make a list of the p and q values and e-mail it 
   to the instructor.

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2. Download the prepared program gau_qdf.f and the gnuplot driver
   file gau_qdf.plt to plot the peaked Gaussian distribution
   function in the range [-3:+3].

   Put you name into the title of the picture and e-mail it as
   a pdf file to the instructor.

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3. Generate an array of ten Gaussian random numbers, run
   heapsort on it and print the numbers in their original
   and new order together (i.e. in the same row). E-mail the
   output file to the instructor.

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4. Use the program eqdf.f from assignment a0106_02 to generate
   an empirical peaked Gaussian distribution from 100 Gaussian
   random numbers (N=100) and plot it together with the exact 
   result from problem 2.

   Increase the statistics to 10,000 Gaussian random numbers
   (N=10,000) and plot everything again.

   Send an e-mail, which describes qualitatively the difference 
   between the two plots (no need to attach the plots).

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