prob3sol-simp

prob3sol-simp - 12. (a) E( p ˆ) = 0.019 Var( p ˆ) =...

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The Hong Kong University of Science and Technology ISMT 111 - Business statistics, Fall 2004 Lecture Section 2 (Dr So) Problem Sheet 3 Suggested Solutions 1. Will be posted later 2. (a) 0.1056 (b) 13.42 (c) 0.9561 3. Will be posted later 4. 0.9463 5. (a) 0.0668 (b) 11.29 days (c) 0.9749 6. Will be posted later 7. (a) 0.1922 (b) 0.096 8. (a) Let x be the number obtained. The probability distribution of x is as follows: X -2 0 2 Sum P( x ) 3/6 1/6 2/6 x P( x ) -1 0 4/6 -1/3 x P( x ) 12/6 0 8/6 10/3 (b) E(x) = –1/3, SD = 1.795 (c) 0.8454 9. (a) Expected value = 1.66, SD = 7.5422 (b) 0.0885 (c) 1.752 10. (a) 0.6247 (b) 0.8621 11. (a) 0.2514 (b) 1246.75
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Unformatted text preview: 12. (a) E( p ˆ) = 0.019 Var( p ˆ) = 6.213x10-5 (b) 0.0808 (c) 0.050705 13. (a) 0.4013 (b) 0.1736 14. (a) 0.9245 (b) 0.7959 (c) 0.9957 15. (a) 0.2514 (b) $243 (c) i. 0.2 ii. 2.688 years 16. (a) 0.4931 (b) 19880 (c) i. 0.0401 ii. 0.04414 17. (a) 0.99995 (b) 0.5074 18. (a) M = 23437.5 (b) 0.0436 19. (a) 0.25 (b) Mean = 2.5 variance = 0.0625 (c) n = 125 20. Will be posted later 21. (a) 0.0228 (b) 71.78 (c) 0.52 (d) σ = 2.5 22. Omitted here. 23. Marginal scores for Grade A are 83.24 and 65.84 for exam 1 and 2 respectively. 24. 0.0028 for Binomial, 0.0516 for Normal Approximation 25. Will be posted later...
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This note was uploaded on 02/27/2010 for the course ISOM ISOM111 taught by Professor Anthonychan during the Spring '09 term at HKUST.

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prob3sol-simp - 12. (a) E( p ˆ) = 0.019 Var( p ˆ) =...

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