Use Matlab/Prob & Stats for all parts. Please explain in detail, much appreciated. Thank you.

Question 1) we say x is a normal or Gaussian random variable with parameter and 2 if its density function is given by: f(x: , 2)-- and its distribution function is given by: we can express F(x;,02) in term of the error function (erf) as follows: The probability density function (pdf) and cumulative distribution function (cdf) of normal distribution can be calculated using two built-in functions normpdf and normcdf in matlab. a) Write two Matlab function on your own based on above equations, one for calculating normal pdf and one for calculating normal cdf. (treating x, , 2 as inputs of the functions) With x=[-6, 6], plot the pdf and cdf for the following pairs of (, 2): (0, 1), (0, 10-1), (0, b) to-i, 1t.i o 1o- (3 1o-i, reste elottem ntwo feure: one containsall the pdf curves, and one contains all the cdf curves) what can you observe about the affect of and , on normal pdf and cdf curves? c)