quiz 1_2007Fall

quiz 1_2007Fall - QUIZ#1 SOLUTION(1(a(b(2(a(b(3(a No...

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Unformatted text preview: QUIZ #1 SOLUTION (1) (a) (b) (2) (a) (b) (3) (a) No. Stratified. .93 1 - .13 The number of plates with 0,1 and 2 scratches. The number 130, 200 and 170. (b) 0130+1200+2170 = 1.08 500 2 2 2 (c) (-1.08) 130+.08 200+.92 170 500 (4) (a) P (F T ) = P (F ) + P (T ) - P (F T ) = .4 + .3 - .12 = .58 (b) P (Chevy) = .25 (GC) .25 (c) P (C|G) = P P (G) = .35 (d) Not independent because P (car) = .7,P (G) = .35 P (G Car) = .245 = P (G Car) = .25 (5) Note that P (A) = .7, P (B|A) = .6 and P (B|Ac ) = .1. (a) P (B) = P (B A) + P (B Ac ) = P (B|A)P (A) + P (B|Ac )P (Ac ) = .6 .7 + .1 .3 = .45 c B) c )P c (b) P (Ac |B) = P (A(B) = P (B|A(B) (A ) = .1.3 P P .45 1 ...
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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 Penn State.

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