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  3. let x1,x2,...xn be a random sample of size n form

Let X1,X2,...Xn be a random sample of size n form a uniform distribution on the interval [?1,?2]. Let Y...

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Basic Math

LetX1,X2,...Xnbe a random sample of size n form a uniform distributionon the interval [?1,?2].Let Y = min(X1,X2,...,Xn).

(a) Find the density function for Y. (Hint: find thecdf and then differentiate.)

(b) Compute the expectation of Y.

(c) Suppose ?1= 0. Use part (b) to give anunbiased estimator for ?2.

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