Problem:
You have been given the sample {0.28, 0.09, 0.22, 0.29, 0.25, 0.68, 0.11, 0.07, 0.02, 0.54} drawn from a population distributed according to....
For this problem you may use the below result without deriving it explicitly:
(a) Suppose that, for the sample provided, the sample mean is less than the population mean. What does this imply about θ?
(b) Suppose that you are further told that, for the sample provided, the sample variance is more than the population variance. How does this additional information change your answer to (a)?
(c) What is the distribution of y = x2 given f(x) above?
(d) What is the probability that x = 0.62 given f(x) above?
Attachment:- reference.rar