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A dataset D consists of the results of 100 independent coin tosses of the same coin where 30 turn out to be heads and 70

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A dataset D consists of the results of 100 independent coin tosses of the same coin where 30 turn out to be heads and 70 turn out to be tails. Let P be the probability of tossing a head. How many datasets on 100 coin tosses are possible which have the same likelihood as the given dataset D? Determine the maximum likelihood estimate of the parameter P using appropriate calculations. [5 Marks]

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