CE93-Engineering Data Analysis Mark Hansen, Fall 2009 Assignment 5 Due 10/6/2009 9:10 AM 1. Problem 3.38 in Ross. (Note: There is a typo—the questions (a) and (b) appear above the definition of a “k-out-of-n” system.) 2. Problem 3.41 in Ross. 3. Problem 3.47 in Ross. 4. A gross polluter detection system consists of two sensors, A and B, and is used to identify motor vehicles that are “gross polluters”—vehicles whose emissions of NoX and hydrocarbons are extremely high due to emissions control equipment that is disabled or operating improperly. Sensor A detects such vehicles with 70% probability, while sensor B does so with 90% probability. Sensor A never incorrectly detects a non-gross-polluting vehicle. Sensor B has a false alarm rate of 1%--i.e. 1% of vehicles that are not gross polluters are registered as gross polluters by Sensor B. 5% of the vehicles passing through the detection system are gross polluters. a.
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