Problem 1 True/False. Each of the following statements can be TRUE or FALSE. Mark “T” if true or “F” if false in the parenthesis below for each statement. (There is no need to show the calculation procedure or explanations).

(a) ( ) In probability and statistics, the population is a subset of a sample.

(b) ( ) For any two sets A and B, it holds A\B = A ∩ Bc.

(c) ( ) A hypergeometric distribution has the lack of memory property.

(d) ( ) Sum of k independent Gamma random variables with the same λ, is itself a Gamma random variable.

(e) ( ) If Cov(X, Y ) = 0, then X and Y are independent random variables.

(f) ( ) The probability distribution of the population is not required in the computation of MLE.