STA255H1 Lecture Notes - Histogram, Sample Space

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1. 8: the histogram is above, the data appears to be bimodal. Llanederyn and caldicot have lower sample values than the other two. 1. 16: without the extreme value, these counts compare more favorably: 2. 34: three patients enter the hospital and randomly choose stations 1, 2, or 3 for service. Then, the sample space s contains the following 27 three-tuples: 231, 232, 233, 311, 312, 313, 321, 322, 323, 331, 332, 333: a = {123, 132, 213, 231, 312, 321, if the stations are selected at random, each sample point is equally likely. Note that p(a) = 0. 6 and p(a|m) = . 24/. 4 = 0. 6. U: job is unsatisfactory a: plumber a does the job: p(u|a) = p(a u)/p(a) = p(a|u)p(u)/p(a) = . 5*. 1/. 4 = 0. 125, from part a. above, 1 p(u|a) = 0. 875. Fa|aa2. 90: (1/50)(1/50) = 0. 0004, p(at least one injury) = 1 p(no injuries in 50 jumps) = 1 = (49/50)50 = 0. 636.

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