# Finding Mean and Standard Deviation for PDF Function

Refere to attachment for better formula representation. Let (Y1, Y2,...Yn) be a random sample from a uniform probability density functions (p.d.f) given by:

f (y;theta) = (1-theta)^-1, theta<y<1

a. Find the mean of Y and shown that the variance of Y is (1-theta)^2/12

b. Show that theta = 2(sum Y/n) -1 is an unbiased estimator of theta.

c. Show that Var (theta0 = (1- theta)^2/3n

https://brainmass.com/statistics/statistical-theory/finding-mean-and-standard-deviation-for-pdf-function-580507

#### Solution Summary

The solution gives detailed steps on finding mean and standard deviation for given probability density function.

$2.19