(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
  1. 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]

Price: $2.99
Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document

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