Exam_W06_132C2

Exam_W06_132C2 - Department of Chemical Engineering...

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Department of Chemical Engineering University of California, Santa Barbara Ch.E. 132C Winter, 2006 Final Exam 1. (15 points) A small bakery sells two types of pastries, sweet rolls and muffins. The profit margin is $0.20 for each sweet roll that is sold, and $0.25 for each muffin that is sold. Past experience has indicated that the daily pastry sales are approximately normally distributed with the following parameters: mean standard deviation sweet rolls 150 18 muffins 100 10 a. (5 points) What is the expected daily profit for the bakery? b. (10 points) What is the probability that the profit will be less than 75% of the expected value? 2. (15 points) In a large population, 4% of the people have a defective gene that can lead to a disease. A test for the defective gene is 95% accurate in the sense that if a person has the defective gene, the test is positive 95% of the time. Conversely, if a person does not have the defective gene, the test is negative 98% of the time. Suppose that a randomly
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Exam_W06_132C2 - Department of Chemical Engineering...

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