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Mathematics, 21.03.2020 03:29 colyernicholas44

The bias of a coin (i. e., the probability of Heads) can take three possible values, 1/4 , 1/2 , or 3/4 , and is modeled as a discrete random variable Q with PMF pQ(q)=⎧⎩⎨⎪⎪⎪⎪⎪⎪1/6,2/6,3/6,0,if q=1/4,if q=2/4,if q=3/4,otherwise. Let K be the total number of Heads in two independent tosses of the coin. Find pQ|K(3/4|2) .

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