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# home3 - D EPARTMENT OF E CONOMICS YALE U NIVERSITY E CON...

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D EPARTMENT OF E CONOMICS E CON 131 A Y ALE U NIVERSITY E CONOMETRICS & D ATA A NALYSIS I F ALL 2010 Assignment #3 Due Tuesday September 28 In Class The same rules apply as on previous assignments. You may work with a study group of your choice on this assignment. However, even if you work with others you must write up and submit your own assignment. You may do your work by hand or in Excel, and you may hand in either handwritten answers or typed answers. Your grade depends on (1) getting the answer right, and (2) showing how you arrived at a correct answer. Late assignments will not be accepted. 1. Suppose that X is a random variable that has a normal distribution with mean μ = 5 and standard deviation σ = 10 . Evaluate the following probabil- ities: (a) Prob ( X 10) (b) Prob ( X < 2) (c) Prob (6 X 11) (d) Prob (( X - 10) 2 12) 2. The fuel efficiency in miles per gallon of all BMW 320i’s is (approximately) normally distributed with a mean of 25 and a standard deviation of 2. A dealer receives a shipment of a random sample of 320i’s (random with re- spect to m.p.g., that is) from the factory. Find the probability that average

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