quiz10-key

# quiz10-key - Quiz 10 Seat Name < KEY > Closed book and...

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Quiz 10. November 17, 2010 Seat # _________ Name: ___ < KEY > ___ Closed book and notes. No calculator. Recall 1: Cov( X , Y ) = E[ ( X −μ X ) ( Y −μ Y ) ] Recall 2: ρ X , Y = Corr( X , Y ) = Cov( X , Y ) / ( σ X σ Y ) Recall 3: E[ c 0 + Σ i = 1 k X i ] = c 0 + Σ i = 1 k E( X i ) Recall 4: Var[ c 0 + Σ i = 1 k X i ] = Σ i = 1 k Σ j = 1 k Cov( X i , X j ) Let the gap D in an assembly be equal to A B C , where A , B , and C are the dimensions (in inches) of three components. Assume that A , B , and C are independent of each other and each normally distributed, with parameters μ A = 10 (in.), σ A = 0.01 (in.), μ B = μ C = 3 (in.), and σ B = σ C = 0.03 (in.). 1. (2 pt) T F D and A are independent. 2. (2 pt) T F Cov( A , C ) = 0. 3. (2 pt) Determine the value of the the mean μ D . ____________________________________________________________ μ D = E( D ) = E( A B C ) = (1)E(
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## This note was uploaded on 04/25/2011 for the course IE 230 taught by Professor Xangi during the Fall '08 term at Purdue.

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