exam07_5bsol - STA 4321/5325 Spring 2007 Exam 5 PRINT Name...

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STA 4321/5325 – Spring 2007 – Exam 5 PRINT Name Legibly ________________________ A supplier faces a daily demand ( Y , in proportion of her daily supply) with the following density function. - = . o.w 0 1 0 ) 1 ( 3 ) ( 2 y y y f Her profit is given by U =6 Y -2. Find the density function of her daily profit. 4 2 72 ) 4 ( ) ( 6 1 12 ) 4 ( 6 2 1 3 ) 1 ( 3 ) ( 6 2 2 6 2 2 2 2 - - = = - = + - = - = + = - = u u u f du dy u u y y f U Y Y U U What is her average daily profit? 2 1 72 192 156 3 576 4 32 64 128 72 1 4 16 3 64 32 4 256 3 512 128 72 1 4 3 8 8 72 1 ) 8 16 ( 72 1 72 ) 4 ( ) ( 4 2 4 3 2 4 2 3 2 4 2 2 - = - = - - - + = + - - - + - = + - = + - = - = - - - u u u du u u u du u u U E What is the probability she will lose money on a day? ( 29
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exam07_5bsol - STA 4321/5325 Spring 2007 Exam 5 PRINT Name...

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