To determine if a coiun is fare, m independent experiments are done: in each experiment, the...

 

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To determine if a coiun is fare, m independent experiments are done: in each experiment, the coin is flipped nk times, for k 1, 2,..., m. And the number of observed heads in the kth experiment is hk. = (a) Use the maximum likelihood method to derive an estimate for the probability p of the coin showing head. (b) If you combine the observations of the m experiments together as a single experiment, i.e., flipping n = nk, and the total number of heads is h = hk, do you get the same estimate? Why? m k=1 To determine if a coiun is fare, m independent experiments are done: in each experiment, the coin is flipped nk times, for k 1, 2,..., m. And the number of observed heads in the kth experiment is hk. = (a) Use the maximum likelihood method to derive an estimate for the probability p of the coin showing head. (b) If you combine the observations of the m experiments together as a single experiment, i.e., flipping n = nk, and the total number of heads is h = hk, do you get the same estimate? Why? m k=1