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In: Statistics and Probability

The random variables X and Y have the following probability density function (pdf). Conditional probability density...

The random variables X and Y have the following probability density function (pdf).

Conditional probability density function is

f(xly) = ax/y^2 , 0<x<y, 0<y<1

=0 , o/w

marginal density finction is

f(y) = by^4 ,0<y<1

= 0, o/w

At this time, find the constant a and b values ​​to be the probability density function, and then indicate whether the random variables X and Y are independent, and if not, indicate whether they are positive or inverse.

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