Use the companion software PARSE to do the following. (a) Generate 200 random numbers of binomial distribution with N = 100 and p = 0.005 and save to data file m3 7a.dat. Compare the histogram of the random numbers gen- erated and the PMF of Poisson distribution with the sample mean and sample variance of the random numbers as its mean and variance, respectively. (b) Generate 400 random numbers of binomial distribution with N = 100 and p = 0.55 and save to data file m3 7b.dat. Compare the histogram of the random numbers generated and the PDF of Gaussian distribution with the sample mean and sample variance of the random numbers as its mean and variance, respectively. (c) Comment on the conditions under which the binomial distribution can be approximated by either Poisson or Gaussian distributions.