The reading on a voltage meter connected to a test circuit is uniformly distributed over the interval (θ, θ + 1), where θ is the true but unknown voltage of the circuit. Suppose that Y1, Y2,..., Yn denote a random sample of such readings. a. Show that Y is a biased estimator of θ and compute the bias.
b. Find a function of Y that is an unbiased estimator of θ.
c. Find MSE(Y ) when Y is used as an estimator of θ.

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