## CIV ENG 280 Computer-based Engineering Analysis Assignment for Lab 5 1. The number of annual precipitation days of one-half of the 50 largest U.S. cities is listed below. Find the mean, mode, median, range, standard deviation and variance of the data. 135 128 78 116 77 111 79 44 97 116 123 88 102 26 82 156 133 107 35 112 98 45 122 125 2. Please go through the steps described in the instruction manual (from page 112 to 136). Your lab report should include the following exercises in the manual. a) Binomial distribution (Page 112) b) Poisson distribution (page 119) c) Normal distribution (page 125) d) t distribution (page 132) 3. A math exam contains 10 multiple-choice questions, each with four choices. Since you have not spent any time preparing the exam, you decided to guess at each question by flipping a coin twice (i.e., two heads for A, head and tail for B, tail and head for C, two tails for D). Let X = the number of questions answered correctly. a) Plot the probability mass function (pmf) of the random variable X. (using the chart type “column”). b) If you have to get at least 5 questions answered correctly to pass the exam, what is the probability that you will pass.

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