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# Lec14 - IOE/Stat 265 Fall 2009 IOE/Stat 265 Fall 2009...

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Unformatted text preview: IOE/Stat 265, Fall 2009 IOE/Stat 265, Fall 2009 Lecture #14: Lecture #14: Sampling Distributions Sampling Distributions p g p g 5-1 Jointly Distributed Random Variables 5-2 Expected Values, Covariance & Correlation 5-3 Statistics and Their Distributions 5-4 Distribution of the Sample Mean 1 5-5 Distributions of a Linear Combination 5-5 Linear Combinations of andom Variables Random Variables Mean and Variance of an Average 2 5-5 Linear Combinations of andom Variables Random Variables Reproductive Property of the Normal Distribution 3 xample 8: Parking Tickets Example 8: Parking Tickets et Y = # Parking Tickets issued on any given ¡ Let Y = # Parking Tickets issued on any given weekday. Suppose Y ~ ( μ =50 and σ =5). Assuming a sample of 5 independent days: 1. What are the mean and variance of the avg # tickets? 2. What are the mean and variance of the sum of tickets for the 5 days? hat is the probability that the average # tickets is 3. What is the probability that the average # tickets is...
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