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(Solved): Consider the following joint probability density function of the random variables X and Y: 2 f( ...



Consider the following joint probability density function of the random variables \( X \) and \( Y: \)
2
\[
f(x, y)=\left\{\b

Consider the following joint probability density function of the random variables and 2 (a) Find its marginal density functions (b) Are and independent? (c) Find the condition density functions . (d) Evaluate


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Solution:(a) To find the marginal density function g(x) of X, we can integrate the joint density function f(x,y) with respect to y:g(x) = ?f(x,y)dyFor
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