ECO 230 Marianna Kudlyak Economic Statistics Spring 2007Answer Key to Homework #8 Total points: 10. Exercise 1. Newbold, Carlson and Thorne, Problem 6.75, p.227. Exercise 2. Newbold, Carlson and Thorne, Problem 6.91, p.228. Exercise 3. The amount of time before the first score by either team in college hockey games is exponentially distributed with a mean of 8.7 minutes. Consider a sample of 100 games a team played over the last years. Assuming that the games are independent, what is the probability that in more than 20% of the games, the first period ends with neither team scoring? A period in hockey lasts 20 minutes. Probability that the first period ends without a goal: P(T>20), where T is an exponentially distributed random variable that denotes time between the start of the first period and the first goal. Hence, λλ2020)1(1)20(1)20(−−=−−=<−=>eeTPTPFor exponential distribution we have 10.0)20(7.817.81)(7.820==>===−eTPTEλλ
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