Final & Solutions

# Final & Solutions - Probability and Statistics Course...

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Probability and Statistics Course 92.386 Final Examination Time: 2 hours Answer any 6 of the following 8 questions. Each question is worth 5 points 1. In a certain assembly plant, three machines, B 1 , B 2 , B 3 , make 30%, 45%, and 25%, respectively of the products It is known from past experience that 2%, 3%, and 2% of the products made by each machine, respectively, are defective Use Baye's Rule to determine the probability that a randomly selected product that is defective was made by machine Bs? 2 Suppose that airplane engines operate independently and fail with probability 0 4 Assuming that a plane makes a successful flight if at least half of its engines rUD, determine whether a 4-engine plane or a 2-.engine plane has a higher probability for a successful flight 3 Suppose a local drugstore owner knows that, on average, 100 people stop by the store per hour Use the Poisson distribution to determine a. the probability that in a given 3-minute period nobody enters the store b.

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