CHEN 3010Applied Data AnalysisFall 2000Mid-Term Test #1 - Version A (open text and notes, 75 mins, 75 points)Staple this question sheet to your answer sheets.Problem 1.(10points)Eye pressure of the human population follows a normaldistribution with a mean of 17 mm Hg, with a standard deviation of 3 mm Hg. Forpatients with glaucoma, the eye pressure is higher with a mean of 30 mm Hg and astandard deviation of 8 mm Hg. For diagnostic purposes, patients with a critical eyepressure reading of 22 mm Hg or greater are considered to have glaucoma. Calculate thefraction of normal population, which could be misdiagnosed as glaucomic.Problem 2.(10 points)A random variable xtakes on only the values 1, 2 or 3 withprobabilities 133+k, 123+k, and 0 553.+k, respectively.2.1 (4 points)Find the correct value of k.2.2 (4 points)Compute the mean and variance of x.2.3 (2 points)Determine the cumulative distribution of x.Problem 3. (10 points)Maximum daily measurements of carbon monoxide
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