Question: Problem 3: Derived distributions and conditional probability The probability of heads of a. given coin is Y2 where Y ~ uniform [0, 1]. Let A

Problem 3: Derived distributions and conditional probability The probability of heads of a. given coin is Y2 where Y ~ uniform [0, 1]. Let A be the event that I ip this coin and get a heads. (i) Find P(A) (ii) Find fy|A(Y = ylA) and fY|Ac(Y = y|Ac) for all y 6 [0,1]

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