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it is known that the probability p of tossing heads on an unbalanced coin is either...

it is known that the probability p of tossing heads on an unbalanced coin is either 1/4 or 3/4. the coin is tossed twice and a value for Y, the number of heads, is observed. for each possible value of Y, which of the two values for p (1/4 or 3/4) maximizes the probabilty the Y=y? depeding on the value of y actually observed, what is the MLE of p?

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