STAT 571 Midterm: STAT 571 UW Madison Fall 04Mid1 Solutions
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The distribution appears to be fairly symmetric and unimodal centered around about 23. The stan- dard deviation is s = 3. 16. (b) let x be the nitrogen concentration of a random plant. P (x < 25) = p(cid:18) x 27. 25 27 (c) the upper endpoint of the middle 99% is the. The corresponding z-score is about z = 2. 575. By symmetry, the lower end- point has z = 2. 575. = 9. 1, so the end points are 17. 9 and 36. 1. 2. (a) let y be the number of successful insertions. P (y 2) = 1 p (y = 0) p (y = 1) 9!0! (0. 1)9(0. 9)0 = 10 9 (b) p (y = 9) = 9! (c) gene insertions are successful with low probability, In nine independent trials, the mean number of successes is less than one, so the outcomes of zero and one success will be the most probable.
