Question 1

A.It is of interest to estimate the mean income of a population. A random sample of size 100 is intended to be selected from the population and the sample mean of their income is to be used to estimate the parameter of interest. Which of these statements are correct based only on the information given in the problem?

Statement 1: The expected value of the sample mean is equal to the parameter of interest.

Statement 2: Income is normally distributed.

A.Neither Statement 1 nor Statement 2

B.Statement 2 only

C.Statement 1 only

D.Both Statement 1 and Statement 2

B.

Let f(x,y) be the joint density function of random variables X and Y. Where the support for both X and Y are all real numbers. 00 0 f wfdxdy Which of the following is equivalent to f 0 O A, P(X>O and Y>0) o B. P(XO) O C. F'(X>0) O D. P(Y>0)