Question: Let X be a discrete random variable that can take values in finite set {30,32,34}.Consider Y is a continuous random variable with fY/X(y/X=32)=U[-0.5,0.5],fY/X(y/X=34)=U[0,1].probablilty mass function

Let X be a discrete random variable that can take values in finite set {30,32,34}.Consider Y is a continuous random variable with fY/X(y/X=32)=U[-0.5,0.5],fY/X(y/X=34)=U[0,1].probablilty mass function of X is px(X=30)=0.5,px(X=32)=0.5,px(X=34)=0.

Suppose we observe Y=0.2 what is maximum likelihood,MAP and MMSE estimate of X if Y=0.2

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