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Q28Section A (Section A)28 of 60

MLE of binomial n and p on a grid

A biased coin, with probability of head as pp, is tossed mm times independently. It is known that p∈{14,34}p\in\bigl\{\frac14,\frac34\bigr\} and m∈{3,5}m\in\{3,5\}. If 33 heads are observed in these mm tosses, then which of the following statements is correct?

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