Consider the triangle with vertices (0, 0), (1, 0), (0, 1). Suppose that (X, Y ) is a uniformly chosen random point from this tr
iangle. (a) Find the marginal density functions of X and Y . (b) Calculate the expectations E[X] and E[Y ]. (c) Calculate the expectation E[XY ].
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We are given this equation :
We have to solve it for y, so we need to isolate y on the left side,
first we have 3x on the left side in addition, so when we take it to the right side we apply opposite operation that is subtract 3x
Next y is in multiplication with 5, so we apply opposite operation of multiplication that is division, so dividing right side by 5