Question: 1. Consider the Binomial random variable X N Binom(N, %) for unknown sample size pa rameter N. Show that T = 2X is an unbiased

1. Consider the Binomial random variable X N Binom(N, %) for

1. Consider the Binomial random variable X N Binom(N, %) for unknown sample size pa rameter N. Show that T = 2X is an unbiased estimator for the parameter N. Now consider the independent random variables X1, . . . ,Xm that all follow the afore mentioned Binomial distribution. Using the above information, construct a consistent estimator for N

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