Random Process

1 Generate 100 random numbers with random numbers with uniform and
Gaussian distribution. Calculate the mean, variance and standard deviation and
plot their histograms and pdf.
2 Repeat Question 1 but use 10000 random numbers.
3 Generate a Gaussian random variable with mean 1 and variance 2. Verify your
results by calculating the mean, variance and standard deviation, and plot the
resulting histogram and pdf.
4 Generate a uniform distribution that is centred at 2. Calculate the mean, variance
and standard deviation, and plot the resulting histogram and pdf.
5 Generate a Gaussian distribution that is centred at -2 and variance of ½.
Calculate the mean, variance and standard deviation, and plot the resulting pdf.