Solve the quantitative tasks below using Python

please solve the task using python and answer the tasks seperately.

1. Given the information below, what is the expected return for Stock A?

Economic State	Probability	Returns for Stock A
Recessionary	0.40	10%
Expansionary	0.60	23%

2. Given the information below, what is the standard deviation of expected return for Stock A?

Economic State	Probability	Returns for Stock A
Recessionary	0.25	-4%
Expansionary	0.75	29%

3. Given the information below, what is the standard deviation of the expected returns of the portfolio made up of 40% of Stock A and 60% of Stock B?

Economic State	Probability	Stock A	Stock B
Recessionary	0.35	12%	2%
Expansionary	0.65	5%	22%

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4. Which stock has a larger standard deviation of returns?

Year	Stock X	Stock Y
20Y2	15%	14%
20Y1	18%	17%
20Y0	8%	4%
20X9	-4%	19%
20X8	31%	8%

a.Stock X

b.Stock Y

5. Given the information below, what is the standard deviation of the expected returns for Stock Z?

Economic State	Probability	Returns for Stock Z
Recessionary	0.25	3%
Normal	0.35	16%
Expansionary	0.40	26%

6. Given the information below, what is the expected return of the portfolio made up of 25% of stock A, 35% of stock B, and 40% of stock C?

Economic State	Probability	Stock A	Stock B	Stock C
Recessionary	0.33	10%	15%	-4%
Expansionary	0.67	8%	-2%	28%

7. Which stock has a larger standard deviation of returns?

Year	Stock A	Stock B
20Y2	12%	21%
20Y1	14%	15%
20Y0	15%	19%
20X9	9%	-3%
20X8	2%	-2%

a.Stock A

b.Stock B

8. Suppose returns over the last three years were 13%, 12%, and 10%. If the mean return over the past four years was 7%, what was the return four years ago?

9.

Given the information below, what is the standard deviation of the expected returns of the portfolio made up of 25% of stock A, 35% of stock B, and 40% of stock C?

Economic State	Probability	Stock A	Stock B	Stock C
Recessionary	0.33	10%	15%	-4%
Expansionary	0.67	8%	-2%	28%

10. Given the information below, what is the standard deviation of the expected returns of the portfolio made up of 25% of stock A, 35% of stock B, and 40% of stock C?

Economic State	Probability	Stock A	Stock B	Stock C
Recessionary	0.33	10%	15%	-4%
Expansionary	0.67	8%	-2%	28%

11. Given the information below, what is the standard deviation of expected return for Stock X?

Economic State	Probability	Returns for Stock X
Recessionary	0.15	-4%
Normal	0.60	12%
Expansionary	0.25	21%

12. Given the information below, what is the expected return for Stock Z?

Economic State	Probability	Returns for Stock Z
Recessionary	0.25	3%
Normal	0.35	16%
Expansionary	0.40	26%

13. Suppose returns over the last four years were 15%, 12%, 27%, and 21%. If the mean return over the past five years was 20%, what was the return five years ago?

14.Suppose returns over the last three years were 12%, 13%, and 11%. What is the standard deviation of these returns?

15. Given the information below, what is the expected return for Stock X?

Economic State	Probability	Returns for Stock X
Recessionary	0.15	-4%
Normal	0.60	12%
Expansionary	0.25	21%

16. Suppose the variance of the independent variable is 2.5 and the covariance between the dependent variable and independent variable is 1. What is the slope of this regression line?