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4. Your friend throws an unknown number, ν, of standard dice and reports that she got...

4. Your friend throws an unknown number, ν, of standard dice and reports that she got x sixes.

(i) Assuming all throws of the dice are independent, write down the likelihood of ν given x.

(ii) By considering the ratio L(ν + 1; x)/L(ν; x), show that there are two integer values of ν which maximise the likelihood L.

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