In: Statistics and Probability
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
# 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