A team of WHO specialists wishes to estimate the unknown probability p of transmission of the COVID-19 virus when two in

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A Team Of Who Specialists Wishes To Estimate The Unknown Probability P Of Transmission Of The Covid 19 Virus When Two In 1 (99.14 KiB) Viewed 65 times

A team of WHO specialists wishes to estimate the unknown probability p of transmission of the COVID-19 virus when two individuals have a face-to-face conversation and none of them wear masks, assuming a Bernoulli model, based on observations about whether a conversation ended in transmission or not for a random sample of n conversations. • A specialist wishes to find a ML estimator p for the unknown probability parameter p. Please specify whether the following statements are true: is unbiased. o o p is asymptotically unbiased. o ộ is more efficient when the sample size n is larger • The MSE of Ộ is larger when the sample size n is larger o The variance of pis smaller when the sample size n is larger • Another specialist wants to perform Bayesian estimation of the probability parameter p. Prior to the analysis, the specialist has absolutely no clue as to the possible value of the probability parameter. In such a case, she might use a prior distribution for p of the form: 201 1.0 30 08! 1.5 2.5 0.5 20 10 1.5 0.4 10 0.5! 0.2 OS 0.2 0.4 0.5 08 10 0.2 0.4 05 OR 10 0.2 0.4 0.6 0.8 1.0 (A) (B) (C)