(1 point) suppose that for two random variables x and y the joint density function is f(x,y)=6xe−x(y+6), for x> 0 and y> 0. find each of the following. (a) fx|y(x,y)= (b) fy|x(x,y)=

Part(a): The required answer is

Part(b): The required answer is

Given function is,

Part(a):

For finding the required value we will use the formula,

Now, solving above we get,

Part(b):

For finding the required value we will use the formula,

Now, solving above we get,

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First find the marginal distributions:

Then to get each conditional distribution, divide the joint distribution by the corresponding marginal distribution.

a.

b.