Hw2_2700_s09 - ENGRD2700 Basic Engineering Probability and...

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ENGRD2700 Basic Engineering Probability and Statistics Spring 2009 Homework 2: Probability Calculations, Bonerroni’s Inequality, and an Integration Review. Hand in by 1:30 pm on Friday, February 6 in the ENGRD2700 dropbox. Be sure to write your name and section number (1–6) or day & time on your homework. Make sure that your homework pages are stapled together. This homework has 10 parts. NOTE: Your answers will, as always, be graded on the clarity of your writing as well as the correctness of the answer. You must show your work to receive full credit. 1. Devore (7e) Text: 1.50 (p. 39) 2. Measures of Location and Scale Suppose a particular dataset { x 1 , . . . , x n } has n = 8 observations which take values { 3 , 5 , 6 , 4 , 1 , 7 , 2 , 80 } . Without performing any calculations answer the following questions: (a) Order the following sample location statistics and state your reasoning: x the sample mean ˜ x the sample median x 25% the interquartile mean (or 25% trimmed mean) (b) Order the following sample scale statistics and state your reasoning: s 2
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