Example 2.7. Let X and Y be jointly continuous random variables with joint PDF is given by: fx,y (r, y) = (6/5)(a² + y))I(o,1)(x)I(0,1)() 1. Show the marginal PDF of X. 2. Find P(X > Y). 3. Find P( < X S }).

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Example 2.7. Let X and Y be jointly continuous random variables with joint PDF is given by:
fx,Y (x, y) = (6/5)(æ² + y))I(o,1)(x)I(0,1)(4)
1. Show the marginal PDF of X.
2. Find P(X > Y).
3. Find P( < X < }).
Transcribed Image Text:Example 2.7. Let X and Y be jointly continuous random variables with joint PDF is given by: fx,Y (x, y) = (6/5)(æ² + y))I(o,1)(x)I(0,1)(4) 1. Show the marginal PDF of X. 2. Find P(X > Y). 3. Find P( < X < }).
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