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ec7a - The University of Hong Kong Department of Statistics...

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1 The University of Hong Kong Department of Statistics and Actuarial Science STAT0302 Business Statistics Semester 2 2009/2010 Example Class 7 Suggested Solution 1. X is the weight in pounds of baggage 2 2 ~ 35, 300 X N By CLT, 2 1 ~ , n i i X N n n Therefore, 100 2 100 1 ~ 100 35,100 300 3500, 30000 i i S X N N That is 2 100 ~ 3500, 30000 S N 100 100 The total weight of 100 bags is no more than 4000 pounds 3500 4000 3500 4000 30000 30000 2.89 0.5 0.4981 0.9981 P S P S P P Z 2. Let X be the weight of each passenger in kg 2 2 ~ 62.5, 8.6 X N By CLT, 2 1 ~ , n i i X N n n Therefore, 24 2 2 24 1 ~ 24 62.5,24 8.6 1500, 1775.04 i i S X N N That is 2 24 ~ 1500, 1775.04 S N 24 24 The lift is overloaded 1500 1600 1500 1600 1775.04 1775.04 2.37 0.5 0.4911 0.0089 P S P S P P Z 3. From the available information, we have 1 2 3 E X E X E X and 2 1 2 3 2 2 Var X Var X
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