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Waiting for the Train. A commuter train arrives punctually at a station every half hour. Each morning, a commuter named John leaves his house and casually strolls to the train station. The time, in minutes, that John waits for the train is a variable with density curve y = 1/30 for 0 < x < 30, and y = 0 otherwise.
- a. Graph the density curve of this variable.
- b. Show that the area under this density curve to the left of any number x between 0 and 30 equals x/30.
What percentage of the time does John wait for the train
- c. less than 5 minutes?
- d. between 10 and 15 minutes?
- e. at least 20 minutes?
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Introductory Statistics, Books a la Carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (10th Edition)
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