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Unformatted text preview: f) P(A B) = (70+9+5)/100 = 0.84 4. a) P(A') = 1 P(A) = 0.7 b) P ( ) = P(A) + P(B)  P( ) = 0.3+0.2  0.1 = 0.4 c) P( ) + P( ) = P(B). Therefore, P( ) = 0.2  0.1 = 0.1 d) P(A) = P( ) + P( ). Therefore, P( ) = 0.3  0.1 = 0.2 e) P(( )') = 1  P( ) = 1  0.4 = 0.6 f) P( ) = P(A') + P(B)  P( ) = 0.7 + 0.2  0.1 = 0.8 5. a ) 0.82 b) 0.90 c) 8/9 = 0.889 d) 80/82 = 0.9756 e) 80/82 = 0.9756 f) 2/10 = 0.20 6. Let A denote the event that a respondent is a college graduate and let B denote the event that an individual votes for Bush. P(B) = P(A)P(BA) + P(A)P(BA) = 0.38 0.53+0.62 0.5 = 0.5114 7. P( ) = 70/100, P(A) = 86/100, P(B) = 77/100 Then, P( ) P(A)P(B), so A and B are not independent. 8. Let A denote the event that a respondent is a college graduate and let B denote the event that a voter votes for Bush. 9. Variability in horsepower is clearly greater in the US and least in Sweden and Italy....
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This note was uploaded on 10/22/2011 for the course ENG 101 taught by Professor Yukov during the Spring '11 term at UCLA.
 Spring '11
 Yukov
 Environmental Engineering

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