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Unformatted text preview: c) Find the mean, variance, and standard deviation of X. Problem E: The thickness of wood paneling (in inches) that a customer orders is a random variable with the following cumulative distribution function (cdf): ? ° (±) = { ± < 1/8 0.2 1/8 ≤ ± < 1/4 0.9 1/4 ≤ ± < 3/8 1 ± ≥ 3/8 a) Arrange the cdf ? ° (±) in a table and plot it. STAT 401 Spring 2016 2 b) Determine the pmf of X. Arrange it in a table. c) Find °(−1.7 < log(±) < −0.7) . (Note: log(∙) is the natural log, or ln(∙) ). d) Find ?(log(±) ) and comment whether this value is equal to or less than or greater than log(?(±)) . Problem E: [BONUS] Let X be the number of jobs held during past year for students at a school. The incomplete pmf and cdf of X are given in the tables below: x 0 1 2 3 4 p(x) 0.37 0.15 x 0 1 2 3 4 F(x) 0.14 0.80 0.95 Complete the tables by finding the five missing entries. Provide details about how you determine each of them....
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 Spring '00
 Akritas
 Standard Deviation, Variance, Cumulative distribution function

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