Suppose X is a random variable with with expected value= 1.31 and standard deviation= 0.85.

LetX₁,X₂, ... ,X₈₁

be a random sample of 81 observations from the distribution of X.

LetXbe the sample mean. Use R to determine the following:

a) Find the approximate probability P(X>1.35)

b) What is the approximate probability thatX₁+X₂+ ... +X₈₁>120

c) Copy your R script for the above into the text box here.