Posted by Susan on Saturday, December 5, 2009 at 6:39am.
1. Assume that q and z are two random variables that are perfectly positively correlated. q takes the value of 20 with probability 0.5 and the value of zero with probability 0.5, while z takes the value of 10 with probability 0.5 and the value of zero with probability 0.5. What is the covariance of q and z?
(A) 50.
(B) 100.
(C) 0.
(D) 1.
(E) There is not enough information to tell.

Economics/Math  economyst, Saturday, December 5, 2009 at 2:44pm
You state that q and z are perfectly positively correlated. This alone says the covariance of q and z is 1. The rest of the information you provide is a red herring.

Economics/Math  Susan in response to economyst, Saturday, December 5, 2009 at 4:32pm
Thank you for responding. The solution, however, is shown as 100. Wouldn't the coorelation coefficient be 1 but not necessarily the covariance?
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