Let X Binomial(200, p), where p is unknown. Let pbbe the maximum likelihood estimator of p.

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Let X ∼ Binomial(200, p), where p is unknown. Let pbbe the maximum likelihood estimator of p. Which of the following statements correctly describes the desirable properties of pb?

a. E(pb) = p and Var(pb) = p.

b. E(pb) = 0.5 and Var(pb) = 0.95.

c. E(pb) = p and Var(pb) is large.

d. E(pb) = p and Var(pb) is small.

e. E(p) = pband Var(p) is small.

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Mathematics And Statistics For Science

ISBN: 9783031053177

1st Edition

Authors: James Sneyd, Rachel M. Fewster, Duncan McGillivray

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Question Posted: Sep 21, 2024 02:03 PM

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Let X Binomial(200, p), where p is unknown. Let pbbe the maximum likelihood estimator of p.

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Mathematics And Statistics For Science

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