HW2_sol_Fall_2007 - Homework 2 solution (Fall, 2007) 2.3.1...

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Homework 2 solution (Fall, 2007) 2.3.1 3 Let Sh denote ”Shock resistance” and Sc denote ”Scratch resistance”. Let the subscript h denote ”High resistance” and l denote ”Low resistance”. i. S = { Sh h Sc h ,Sh h Sc l ,Sh l Sc h ,Sh l Sc l } ii. { Sh l Sc h ,Sh l Sc l } . There are 14 disks such like that. iii. { Sh h Sc l ,Sh l Sc h ,Sh l Sc l } . There are 30 disks such like that. 5 i. P ( A B ) = 0 . 6 ii. P ( A - B ) = p ( A ) - p ( A B ) = 0 . 4 - 0 . 1 = 0 . 3 iii. P ( A B ) = P ( A ) + P ( B ) - P ( A B ) = 0 . 4 + 0 . 3 - 0 . 6 = 0 . 1 2.4.1 1. P ( A ) = P (Machine A produce a batch with no defectives) = 0 . 95 P ( B ) = P (Machine A produce a batch with no defectives) = 0 . 92 P ( A B ) = P (Both machine A and machine B produce a batch with no defectives) = 0 . 88 i. P ( A B ) = P ( A ) + P ( B ) - P ( A B ) = 0 . 95 + 0 . 92 - 0 . 88 = 0 . 99 ii. P ( A B ) - P ( A B ) = 0 . 99 - 0 . 88 = 0 . 11 4. i. P ( S ) = P (1)+ P (2)+ P (3)+ P (4)+ P (5)+
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This note was uploaded on 07/17/2008 for the course STAT 401 taught by Professor Akritas during the Fall '00 term at Pennsylvania State University, University Park.

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HW2_sol_Fall_2007 - Homework 2 solution (Fall, 2007) 2.3.1...

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