1) Generate 100 sample functions for the first 100 seconds of the Wiener Process by using Matlab. Have sample functions plotted in different colors on the same graph and interpret them.(MATLAB CODE...

1) Generate 100 sample functions for the first 100 seconds of the Wiener Process by using Matlab. Have sample functions plotted in different colors on the same graph and interpret them.(MATLAB CODE REQUIRED )

a) Estimate the mean and variance functions by using the sample functions. Discuss by comparing the mean and variance functions of the Wiener Process.

b) Obtain the Probability Density Function for the Wiener Process.

c) Is the Wiener Process a rigidly stationary process? Show me.

d) Is the Winer Process a white process? Show me.