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In: Statistics and Probability

Suppose X1, X2, , ... , X10is a random sample from a distribution with mean u...

Suppose X1, X2, , ... , X10is a random sample from a distribution with mean u and variance 6. Also,  is a random sample from a distribution with mean u and variance 30. These samples are independent as well.

a. Is  0.2X + 0.8Y unbiased?

Cannot be determined from this information or Yes or No



b. What is the MSE of u? Round to 2 decimals.

c. Based on the MSE criterion, is mu (u ), X (x bar), or Y (y bar) preferable?

Cannot be determined from this information , Y , X , u

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