The joint probability density function of X and Y are given below: f(X,Y) = cx^2e^−xy 1

The joint probability density function of X and Y are given below:

f(X,Y) = cx^2e^−xy
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1) Calculate the value of C.
2) Write down the marginal probability density function of X.
3) Calculate the conditional probability density function of Y|X=1.5.