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quiz02_1

# quiz02_1 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Civil and Environmental Engineering 1.017 Computing and Data Analysis for Environmental Applications Quiz 1 Thursday, October 8, 2002 Please answer all questions on a separate piece(s) of paper with your name clearly identified: Problem 1 (15 points) Suppose that the annual maximum temperature at a particular location has a normal distribution with a population mean of 20 degrees C and a population standard deviation of 5 degrees C. The corresponding CDF is plotted below. Compute (approximately) the probability that the maximum temperature in a given year will be in the range between 15 and 25 degrees C. Would this probability increase or decrease if the population standard deviation decreased to 3 degrees C? Problem 2 (30 points) Suppose that the algae growth rate ( g ) in a lake is related to nitrate concentration ( N ) by the following equation: 2 N g = 5 + N Also, suppose that N is exponentially distributed with a distributional parameter a = 5. Write a

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