sample+questions

# sample+questions - Sample questions 1 An electronic...

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Sample questions 1. An electronic assembly consists of two subsystems, say A and B. From previous testing procedures, the following probabilities are assumed to be known: P(A fails) = 0.20, P(only B fails) = 0.15, P( both A and B fail ) = 0.15. What is the probability that neither subsystem fails? 2. Let A and B be two events associated with a random experiment. If P(A) = 0.7 and P(B) = 0.8. Is it possible that P(A and B) = 0.4? Why? 3. In a bolt factory, machines A, B, and C manufacture 25, 35, and 40 percent of the total output. Of their outputs, 5, 4, and 2 percent, respectively are defective. a) What percentage of the total output is defective? b) A bolt is chosen at random and found to be defective. What is the probability that the bolt came from machine B? 4. The mean diameter of a type of bearing is supposed to be 2 centimeters. The bearing diameters have a normal distribution with 0.01 centimeter. When a lot of the 5 œ bearings arrives, the consumer takes a simple random sample of 9 bearings from the lot and measures their diameters. The consumer rejects the bearings if the sample mean diameter is sufficiently different from 2 centimeters. This can be stated as a hypothesis testing problem: H : =2 vs H : 2.

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## This note was uploaded on 09/04/2010 for the course STAT 131 taught by Professor Isber during the Spring '08 term at Berkeley.

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sample+questions - Sample questions 1 An electronic...

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