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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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 Fall '11
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 Chemical Engineering

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