Consider the joint probability distribution table below, and answer the following questions:

1. Compute the expected value for random variable X. (Report your answer with decimal precision. Make sure that you round up your answer to two decimal points).

2. Compute the standard deviation for random variable X. (Report your answer with decimal precision. Make sure that you round up your answer to two decimal points.)

3. Compute the covariance between random variables X and Y. (Report your answer with decimal precision. Make sure that you round up your answer to two decimal points.)

4. Suppose that X and Y are measured in dollars. The covariance is measured in:

A. dollar-squared, a meaningless unit

B. square-root of dollar, a meaningless unit

C. dollars

D. no units (varies between -1 and +1)

5. Compute the coefficient of correlation between random variables X and Y. (Report your answer with decimal precision. Make sure that you round up your answer to two decimal points.)

6. Suppose that X and Y are measured in dollars. The coefficient of correlation is measured in:

A. square-root of dollar, a meaningless unit

B. dollar-squared, a meaningless unit

C. dollars

D. no units (it varies between -1 and 1)

Prob. (X=Xi, and Y=Yi)	X	Y
0.15	4	20
0.35	-4	12.5
0.5	0	23