# hw1sol - Engineering 0020 Probability and Statistics for...

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Engineering 0020: Probability and Statistics for Engineers 1 Spring 2007; Solutions: Homework #1 1. Question 2 a) 29.1 yards, 28.3 yards, 24.7 yards, 31.0 yards. b) 432, 96, 184, 321 c) 7.1, 4.8, 6.3, 5.0 d) 7.4 g, 6.7 g, 7.1 g, 6.8 g (of course, these are just my examples; your mileage may vary…) 2. Question 15 Crunchy | | Creamy | 2 | 2 6 4 4 | 3 | 0 0 6 9 7 7 2 2 0 | 4 | 0 0 1 4 5 6 3 2 0 | 5 | 0 0 3 6 6 6 stem: tens, leaf: ones 2 2 2 | 6 | 2 5 8 5 5 | 7 | 0 | 8 | Both sets of scores are reasonably spread out. There appear to be no outliers. The three highest scores are for the crunchy peanut butter; the three lowest for the creamy peanut butter - in general, creamy seems to have somewhat lower scores (with a longer tail at the lower end) than crunchy (with a longer tail at the upper end). Class interval frequency rel. freq cum. freq cum. rel. freq. 20 - 30 1 0.053 1 0.0526 30 - 40 4 0.211 5 0.2630 40 - 50 5 0.263 10 0.5260 50 - 60 6 0.316 16 0.8420 60 - 70 3 0.158 19 1.0000 19 Histogram 0 1 2 3 4 5 6 7 Interval Frequency 20<=x<30 30<=x<40 40<=x<50 50<=x<60

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3. Question 30
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hw1sol - Engineering 0020 Probability and Statistics for...

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