Question: A point is randomly selected inside the shaded triangle according to the joint probability density function f (x, y) = c(x2 +y? ) inside the

 A point is randomly selected inside the shaded triangle according to

the joint probability density function f (x, y) = c(x2 +y? )

A point is randomly selected inside the shaded triangle according to the joint probability density function f (x, y) = c(x2 +y? ) inside the triangle = 0 elsewhere where c is a constant. a) Determine the constant c. b) Determine the marginal PDF f(x) . c) Are X and Y statistically independent? d) Determine the means and standard deviations of X and Y and the correlation coefficient between them

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