Question: 6. Let X1, . . . ,Xn be i.i.d. random samples from Uniform(0, 6'). We saw in class that the rule El of 9 is

6. Let X1, . . . ,Xn be i.i.d. random samples

6. Let X1, . . . ,Xn be i.i.d. random samples from Uniform(0, 6'). We saw in class that the rule El of 9 is 6' = Inax{X1, . . . ,X}. Show that this is a biased estimator of 3. Use the result to propose an unbiased estimator of 9. Hint: First nd the cdf and then the pdf of max{X1, . . . ,X,,}. Then use it to calculate its mean

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