hmk5_s08 - Engineering Statistics ENGRD270 Homework 5...

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Engineering Statistics ENGRD270 Homework 5: Continuous Random Variables Spring 2008 Hand in by 1:30pm on Fri, Feb 29 in the ENGRD270 dropbox Be sure to write your name and section number (1–6) or day&time on your homework. 1. Devore (7th Ed.) Page 135, Exercise 6. 2. Devore (7th Ed.) Page 143, Exercise 12. 3. Suppose X is a normal rv with mean 60 and standard deviation 15. Use Table A3 on pages 668–9 of Devore 7e to compute the following: (a). Pr[ X 70] (b). Pr[ X 55] (c). Pr[55 X 70] (d) the 80th percentile of the distribution of X. 4. Devore (7th Ed.) Page 155, Exercise 42. 5. Devore (7th Ed.) Page 162, Exercise 63. 6. Devore (7th Ed.) Page 163, Exercise 69. 7. Probability plots You can use MINITAB or other software in this question. Consider the following sample of n = 10 observations: 71 . 5 , 62 . 3 , 68 . 1 , 61 . 4 , 61 . 5 , 64 . 1 , 64 . 7 , 61 . 1 . 59 . 9 , 63 . 1 (a) Make a table of 10 rows in which the first column (C1) consists of these 10 observations. In the next column C2, place these same observations sorted into ascending order (the “order statistics” x ( i ) ).
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