problemset6 - PAM 2100 Lecture 1 Fall 2008 Problem Set #6...

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PAM 2100 Lecture 1 Fall 2008 Problem Set #6 Posted: 28 th of October, 2008 Due date: 4 th of November, 2008 Round all final answers to four decimal places, if necessary. #1) The weight of medium-size tomatoes selected at random from a bin at the local supermarket is a random variable with mean μ = 10 oz. and standard deviation σ = 1 oz. a) Suppose we pick four tomatoes from the bin at random and put them in a bag. Define the random variable Y = the weight of the bag containing the four tomatoes. What are the mean and the standard deviation of the random variable Y ? b) Let the random variable W = the weight of the bag containing the four tomatoes in pounds (1 pound = 16 oz). What are the mean and the standard deviation of the random variable W ? c) Suppose we pick two tomatoes at random from the bin. Let the random variable V = the difference in the weights of the two tomatoes selected (the weight of the first tomato minus the weight of the second tomato). What are the mean and the standard deviation of the random variable
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