Let 
be a simple random sample from a 
population. For any constant k> 0, define 
. Consider 
as an estimator of 
.
a. Compute the bias of 
in terms of k.
b. Compute the variance of in terms of k.
c. Compute the mean squared error of in terms of k.
d. For what value of k is the mean squared error of minimized?
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