# 120PM13 - Midterm 1 Practice Problems Econometrics 120A 1...

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Midterm 1 Practice Problems - Econometrics 120A 1. The following are the results of the first six football games of USC (University of Southern California) this season: Game Score Outcome USC - Idaho 38-10 Win USC - Nebraska 49-31 Win USC - Washington State 47-14 Win USC - Washington 27-24 Win USC - Stanford 23-24 Loss USC - Arizona 20-13 Win (a) What is the average number of points scored by USC? (b) What is the median number of points scored by USC? (c) What do the answers to a) and b) suggest about the distribution of points scored by USC? (d) The standard deviation of points scored by USC is 12.46. What would the standard deviation be if USC had scored twice as many points in each game? 2. The height of 21 year old men in The Netherlands has a normal distribution with mean 72” (6’) and a standard deviation of 3”. (a) If you meet a 21 year old man from the Netherlands, what is the probability that he will be
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Unformatted text preview: over 6’ 5” tall? (That is taller than 77”?) (b) The average height for men in the United States is 70” (5’ 10”). If you meet a 21 year old from The Netherlands, what is the probability that he will be shorter than the average American? (c) How tall would you have to be for 90% of 21 year olds in The Netherlands to be shorter than you? 3. The number of hours for which a lightbulb works before it burns out is normally distributed with mean 5000 hours and standard deviation 200 hours. (a) What is the median number of hours for which a lightbulb works before it burns out? (b) What is the probability that a lightbulb burns out in under 4800 hours? (c) Suppose you have a room where you install ﬁve of these lightbulbs at the same time. What is the probability that at exactly one lightbulb burns out before 4800 hours? 1...
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