STAT202 Study Guide - Midterm Guide: Binomial Distribution, Continuity Correction, Standard Deviation

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12 Nov 2012
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The probability of getting a parking ticket when not paying for a 2-hour period is 0. 25. What is the probability of getting at least 75 tickets if you park on 257 occasions for a. Let x be the number of tickets received. This is a binomial situation with p = 0. 25 and n = 257, so mean = np = 64. 25, Using a normal approximation with continuity correction we have. Thus, p(x 75) 1 - p(z < 1. 476579) = 0. 0699. Assume that the tires sold by olsen tires are normally distributed with a mean life of 41,000 miles and a standard deviation of 2,450 miles. Now consider a single tire, and let"s find the probability that its lifetime is 40,000 miles or more. The probability that all four tires will last this long, assuming their lifespans are independent, is (0. 6584)4 =