midterm2solutions

# Midterm2solutions - Statistics 400 Midterm Exam 2 April 14th 2011 Thursday 12:30-1:50pm Name Net I.D Discussion Section(circle one BD1 BD2 BD3 BD5

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1. [20 points] Let X and Y have the joint p.d.f. f X,Y ( x,y ) = 2( x + y ) , 0 x y 1 0 , elsewhere (a) [8 points] Find the marginal p.d.f.’s of f 1 ( x ). f 1 ( x ) = Z 1 x 2( x + y )d y = (2 xy + y 2 ) | 1 x = 1 + 2 x - 3 x 2 , 0 x 1 (b) [12 points] Compute μ x and σ 2 x . μ
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## This note was uploaded on 09/11/2011 for the course STAT 400 taught by Professor Tba during the Spring '05 term at University of Illinois at Urbana–Champaign.

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Midterm2solutions - Statistics 400 Midterm Exam 2 April 14th 2011 Thursday 12:30-1:50pm Name Net I.D Discussion Section(circle one BD1 BD2 BD3 BD5

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