Tossing heads on unbalanced coin


It is known that 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 and every possible value of Y, which of the two values for p(1/4 or 3/4) maximizes the probability that Y = y? Depending on the value of y actually observed, what is the MLE of p?

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Basic Statistics: Tossing heads on unbalanced coin
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