(Step-by-Step) This table gives the joint probability distribution for two random variables which are the annual sales growth (%) from two companies, A and
Question: This table gives the joint probability distribution for two random variables which are the
annual sales growth (%) from two companies, A and B.
| Sales growth for Company A (%) | ||
|
Sales
growth for Company B (%) |
-4 +4 +8 | |
|
-1
+3 +6 |
0.15
0.05
0.1
0.1 0.25 0.03 0.05 0.07 0.2 |
|
- Are the 2 variables independent or not? Explain the reason for your answer.
[2 marks] b. Find the expected value and standard deviation of the sales growth of company A and the covariance between the 2 variables. [5 marks]
c. Suppose the level of sales of company A was $200m at the start of the year and for company B, $75m. Define Z as the total sales of the 2 companies combined at the end of the year; then find the mean and variance of Z.
H i n t: To save you some calculation, you are told that the variance of B is 7.6224 %2.
[5 marks]
Deliverable: Word Document 