PracticeQuestions5Answers

PracticeQuestions5Answers - Practice Questions 5 Answers 1....

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Unformatted text preview: Practice Questions 5 Answers 1. C 2. B 3. D 4. B 5. B 6. A 7. C 8. B 9. D 10. A 11. B 12. D 13. C 14. A 15. C 16. B 17. B 18. B 19. D 20. A 21. C 22. C 23. B 24. D 25. = 10, = 2.4, n = 12 P( X > 11) = P(Z > 1.44) = 1 0.9251 = 0.0749 26. = 10, = 2.4, n = 12 a - 10 2.4 / 12 ) = 0.85 a - 10 = 1.04 a = 10.721 0.6928 2 n 2 n ) = 0.20 = -0.84 15.4 15.4 P( X < a) = 0.85 P ( Z < 27. P( X > 300) = 0.20 P ( Z > n = 41.84 42 300 - 298 15.4 / n ) = 0.20 P( Z > 28. P(4.0< X <4.2) = P(Z < 0.24) P(Z < -0.24) = 0.5948 - 0.4052 = 0.1896 29. a - 4.1 a - 4.1 P ( X > a ) = 0.95 P > Z = Z = .95 P > 1.3/ 10 0.411 a - 4.1 = -1.645 a = 3.42 minutes 0.411 30. P= 0.15, n = 60 ^ E( P ) = P = 0.15 2 ^ Var( P ) = = P ( 1 - P ) / n = (0.15)(0.85)/60 = 0.002. Hence, = 0.0461 ^ P( P >0.18) = P( Z > 0.65) = 0.2578 31. = P = 0.621 2 32. = P(1-P) / n = (0.621)(0.379)/100 = 0.00235 33. P = 0.00235 = 0.0485 ^ ^ 34. P( P > 0.60) = P(Z >- 0.43) = 0.6664 n - 1) s 2 ( 29 ) ( 0.5 ) ( 2 > 35. P( s > 0.5)= P = P( >48.33) < 0.01 2 0.3 n - 1) s 2 29k ( 2 < = 36. P( s < k ) = 0.10 P 0.10 2 0.3 2 P ( 2 < 96.67 k ) = 0.10 96.67 k = 19.768 k = 0.2045 37. = 1 / 8.7 = 0.1149 P = P(one game with no score in first 20 minutes) = e -0.1149 ( 20 ) = e -2.3 = 0.1 ^ P( P >0.20) = P[Z>(0.20 0.1)/ 0.09 / 25 ] = P(Z>1.67) = 0.0475 38. For the Poisson distribution, = E(X) = Var(X). = = 4.2 = 2.05 . P( X > 5) = P[Z > (5 - 4.2) / (2.05 / 40 ] = P(Z > 2.46) = 0.0069 39. = 1742 and = 132 Z P( X < 1700) = P < 1700 - 1742 = P(Z < -2.66) = 0.0039 132 / 70 Z 40. P[ X >k) = 0.23 = P > K - 1742 K - 1742 = Z P > 15.777 132 / 70 K - 1742 ( = 0.74 ( K = $1,753.67. 15.777 41. n = 15, x = 6.40, = 1.7 P Z 6.40 - 6.40 - Z 0.36 0.36 P 0.4389 1.7 15 6.40 - = 0.36 = 6.242 0.4389 P ( x == == )== 0.36 6.40 ...
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