Question

In: Statistics and Probability

Please answer both of the following Two stocks are being considered for a portfolio. We are...

Please answer both of the following

Two stocks are being considered for a portfolio. We are interested to see if there is a relationship between the two stocks. The covariance for stocks x & y is -1.84. The standard deviation of stock x is 1.25 and the standard deviation of stock y is 1.65. What is the correlation coefficient for the two stocks?

A. -1.47

B. -.6344

C. -.892

D.-.40

Given the following Discrete Distribution, what is the expected value (E(x))?

    x        f(x)

35 .20

55 .50

20 .30  

A. 40.5

B. 55

C. 36.67

D. 28

Solutions

Expert Solution

# First question

Cov(X,Y) = covariance between x and y = -1.84

Formula for correlation coefficient

Round correlation coefficient up to 3 decimal place

Correlation coefficient = - 0.892

Answer for First part

Correct choice is ( C) choice

Correlation coefficient = - 0.892

# second question

Formula for mean that is E(x)

P(x) means column of f(x)

x p(x) x * p(x)
35 0.20 = 35*0.20 = 7
55 0.50 = 55*0.50 = 27.5
20 0.30 =20*0.30 = 6

E(X) means sum of the calculated value from third column

Final answer for second part :-

Correct choice is (A) for second part


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