Make a vector of 500 random numbers from a normal distribution with mean 2 and standard deviation 5(randn).

a After you generate the vector, verify that the sample mean and standard deviation are close to 2 and 5 respectively (mean,std).

b Determine  P(X≤ 2)

c P(-1≤X≤  1)

c Plot distribution.

Problem:

a solve the following integral (analytical method only)

b use Matlab to compute the value of above integral

c display the difference between both values (a and b) if any