prob3sol-simp - 12(a E p ˆ = 0.019 Var p ˆ = 6.213x10-5(b...

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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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