There is a right triangle with three vertices at points 00 1

There is a right triangle with three vertices at points (0,0), (1,0), and (0,1) respectively. A point, with coordinate(X,Y) is chosen randomly such that the joint distribution of X and Y is uniform over this triangle.

a)Find the joint PDF of X and Y

b)Find the marginal PDF of Y. IS Y uniform over the interval [0,1]?

c)Find the conditional PDF of X given Y. Is this conditional distribution uniform?

d) are X and Y independent?

There is a right triangle with three vertices at points (0,0), (1,0), and (0,1) respectively. A point, with coordinate(X,Y) is chosen randomly such that the joi

There is a right triangle with three vertices at points 00 1

Solution

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