Maximum Likelihood: Consider an urn that contains balls numbered 1:::n. You do not know

n. You are allowed a single random draw of a ball (assume each ball is equally likely to be

drawn). Say, the ball you draw is numbered m. What is the maximum likelihood estimate of

n. Is the estimate biased (you have to research and find out the formal definition of the term

biased. Prove your answer.

n. You are allowed a single random draw of a ball (assume each ball is equally likely to be

drawn). Say, the ball you draw is numbered m. What is the maximum likelihood estimate of

n. Is the estimate biased (you have to research and find out the formal definition of the term

biased. Prove your answer.

## This question was asked on Mar 21, 2010.

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