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Unformatted text preview: of X 2. For Example 3, ±nd E ( Y ) 3. For Example 1 ±nd var ( X ) Example 5 (Exercise 5.10; Uniform distribution) . Trains headed for destina-tion A arrive at the train station at 15- minute intervals starting at 7 A. M., whereas trains headed for destination B arrive at 15-minute intervals starting at 7: 05 A. M. 1 1. If a certain passenger arrives at the station at a time uniformly distributed between 7 and 8 A. M. and then gets on the Frst train that arrives, what proportion of time does he or she go to destination A? 2. What if the passenger arrives at a time uniformly distributed between 7: 10 and 8: 10 A. M.? 3. ±or part(a) if X denotes the number of minutes after 7 that the passenger arrives what is E ( X )? What is var ( X )? 2...
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- Spring '11
- Variance, Probability theory, probability density function