S-sample-midterm-3502 - ( A B ) 6 = 0, d)...

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STAT 3502 Solution-Sample Midterm Solution: 1. a) 0.27, b) 0.143, c) mean=2, standard deviation=1.41, d) 0.135, e) 0.00148 (use binomial (5,0.865)) 2. q 3 p when p=P(win) 3. 0.536, 15/8 4. a) { A, B, AB, No-defect } , b) 7/100, c) 5/100, d) 3/100, e) 15/100, f) 1-(15/100) 5. a) same, b) 10/100, c) 8/100, d) 3/100, e) 21/100, f) 1-(21/100) 6. 0.0045 7. a) .5(.4)=.2, b) .5+.4-.2=.7 8. a) No, since P ( A | B ) 6 = P ( A ), b) 0.8*0.3=0.24, c) No, since P
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Unformatted text preview: ( A B ) 6 = 0, d) 0.6+0.3-0.24=0.66, e) 1-0.66=0.34, f) 0.6-0.24=0.36, g) 0.24/0.6=0.4, h) 1-0.8=0.2, i) (0.3-0.24)/(1-0.6) 9. a) P ( D ) = 0 . 02 * . 5 + 0 . 02 * . 25 + 0 . 04 * . 25 = 0 . 025, b) 0.04(0.25)/0.025 10. 10*9*8*7*6 11. a) 0.85(0.75)+0.35(0.25)=0.725, b) 0.85(0.75)/0.725 12. P ( X 2) = ( 4 2 ) p 2 (1-p ) 2 + ( 4 3 ) p 3 (1-p ) + ( 4 4 ) p 4 13. 1-0.985 1...
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