Stat225-Prob05

# Stat225-Prob05 - Stat 225 – Problem Set 05 Fall 2008...

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Unformatted text preview: Stat 225 – Problem Set 05 Fall 2008 [ Weiss : 5.1–5.2, 7.1–7.3] Quiz #5 on Wednesday 10/8 will be similar in format and content to one of the problems below. You should be prepared to solve any of them. 1. Explain each of the following concepts as if to somebody in your major who has not yet taken STAT 225 yet. Use your own words (not the book definition), and also give at least one example of each term. (a) a random variable. (b) the distribution of a random variable. (c) the expected value of a random variable. (d) the variance of a random variable. 2. Suppose that the random variable X takes values in S = { 1 , 2 , 3 , 4 , 5 } but you don’t know the PMF. Each of the statements below is either true or false . If it is true, prove it; otherwise, give an example of a PMF on S and verify that the statement does not hold for that choice of PMF. (a) P ( X = μ ) > 0, where μ = E ( X )....
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Stat225-Prob05 - Stat 225 – Problem Set 05 Fall 2008...

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