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Unformatted text preview: Statistics 104 Spring 2011 Section #5 Topics for Section Continuous Random Variables Normal Distribution Sampling Distribution of Sample Mean Central Limit Theorem (for general sums of random variables) t-distribution Confidence Intervals Practice Problems 1. The daily high temperature for the first week in March in Boston is approximately Normally distributed with an average high of 42 F and a standard deviation of 7 F. a. Suppose that yesterday's high temperature was 40 F. What is the probability that a day in the first week of March would have a high of 40 F or colder? b. What high temperature needs to be achieved in order to be in the top 1% of daily high temperatures in the first week of March? c. On Friday, February 18, it got up to 60 F. What is the probability that a day in the first week of March would have a high of 60 F or warmer? 2. There is a sign in the university library elevator indicating a 16-person limit as well as a weight limit of 2500 pounds. Suppose that the weights of students, faculty, and staff are approximately Normally of 2500 pounds....
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