Code in R NOT Python

Question 3: Recall that the formula for the sample variance is Var(X)=N11i=1N(XiX)2 where Xi is the ith element of the data set, X is the sample mean of the data set, and N is the number of observations. (a) Write a function SV(X) that inputs the data X and outputs the sample variance (which is a single value) of X. (b) Randomly generate 100 numbers from a normal distribution with mean 0 and variance 1 and save them in a vector Y. Apply your sample variance function to Y and print the result. (c) With the same vector Y from part b), compute eY and apply the sample variance to the resulting vector. Print the output