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quiz9-key - 5(2 pt Determine the value of P X< 2 Y> 4 P...

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Quiz 9. November 12, 2010 Seat # _________ Name: ___ < KEY > ___ Closed book and notes. No calculator. Recall: Cov( X , Y ) = E[ ( X −μ X ) ( Y −μ Y ) ] Recall: ρ X , Y = Corr( X , Y ) = Cov( X , Y ) / ( σ X σ Y ) 1. (2 pt) T F | ρ X , Y | 1. 2. (2 pt) T F Var( X ) = Cov( X , X ). For Questions 3 and 5, consider the following pmf (M&R, Problem 5–17). Consider the joint pdf f X , Y ( x , y ) = cxy for 0 x 4, 1 y 5 and zero elsewhere. 3. (2 pt) T F c = 0 4 1 5 xy dy dx 1 . 4. (2 pt) Determine the value of E( X ). ____________________________________________________________ E( X ) = −∞ −∞ x f X , Y ( x , y ) dy dx = 0 4 1 5 x c x y dy dx ____________________________________________________________
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Unformatted text preview: 5. (2 pt) Determine the value of P( X < 2, Y > 4) ____________________________________________________________ P( X < 2, Y > 4) = ∫ −∞ 2 ∫ 4 ∞ f X , Y ( x , y ) dy dx = ∫ 2 ∫ 4 5 c x y dy dx ← ____________________________________________________________ ______________________________________________________________________ Write on the back any concerns about the weekly quizzes or the course in general. IE 230 – Page 1 of 1 – Schmeiser...
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