hw4_print

hw4_print - = ° ( ? ² ∩ ? ∩ ? ² ) ° ( ℎ´µ ) =...

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Homework 3 (Solutions) Total points is 25 Problem 3.10. A=error detected by A, B=error detected by B, C=error detected by C. P(A)=0.92, P(B)=0.85, P(C)=0 .95. Then P(error will be undetected)=0.08*0.15*0.05=0.0006. Problem 3.30. P(A)=P(B)=P(C)=P(D)=0.5. ° ? ∪ ? ∪ ? ∪ ?± = 1 − ° ? ² ∩ ? ² ∩ ? ² ∩ ? ² ± = 1 . 5 4 = 0.9375. Problem I.23 faces 3456. P(exactly one face appears| faces 1 and 2 didn’t show up) 4 4 3 4 2 4 1 4 = 4! 4 4 = 6 4 3 = 0.09375. Problem I.24 . A=Jeff hits, B=Jen hits, C=Cathy hits. P(A)=0.7, P(B)=0.8, P(C)=0.75. P(B|hit) ° ?³ℎ´µ±
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Unformatted text preview: = ° ( ? ² ∩ ? ∩ ? ² ) ° ( ℎ´µ ) = ° ( ? ² ∩ ? ∩ ? ² ) ° ? ∩ ? ² ∩ ? ² ± + ° ? ² ∩ ? ∩ ? ² ± + ° ( ? ² ∩ ? ² ∩ ? ) = . 3 ∗ .8 ∗ .25 . 7 ∗ .2 ∗ .25 + .3 ∗ .8 ∗ .25 + .3 ∗ .2 ∗ .75 = 0.06 0.14 = 0.4285 Problem I2.13. In general False. P(A|B)=0.5, then for P(B|A)=0.5, P(A)=P(B). ° ?³?± = ° ( ? ∩ ? ) ° ( ? ) = 0.5 => ° ? ∩ ?± = 0.5 ° ( ? ) ?¶µ , ° ?³?± = ° ( ? ∩ ? ) ° ( ? ) = 0.5 ° ( ? ) ° ( ? ) = 0.5 => ° ?± = ° ( ? )...
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This note was uploaded on 04/23/2011 for the course STAT 416 taught by Professor Staff during the Spring '08 term at Purdue.

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