Question: Please help with the following problem: ================== Roll a fair die for n times. Observing X, the number of one dot, we want to estimate

Please help with the following problem:

==================

Roll a fair die for n times. Observing X, the number of one dot, we want to estimate Y , the number of 6 dots,

(a) By computing the conditional PMF, show that the conditioned on X = x, Y is distributed as Bin(n x, 1/5 ).

(b) Find the best estimate of Y as a function X.

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