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Assignment 9

# Assignment 9 - Fall 2009 Hansen Assignment 9(Mock Midterm...

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Fall 2009 Hansen Assignment 9 (Mock Midterm) Due 11/3/2009 9:10 AM This will be counted and graded like a regular assignment, but students are encouraged to attempt it in an exam setting—all at once, completely on your own, and closed book except for your 1 page (front and back) crib sheet. 1. Occupancies of 100 vehicles driving in the HOV lane of the East Shore Freeway are observed. The results are summarized in the table below. Occupancy (persons in vehicle) Number of Vehicles 1 20 2 50 3 20 4 5 5 5 a) Draw a histogram for these data. b) Draw a cumulative frequency diagram for these data. c) Draw a box and whiskers plot for these data. d) What is the median occupancy? e) What is the variance of the occupancy? f) Is the skewness of the occupancy positive or negative? Explain. 2. At a construction project, the amount of material required in a day’s construction is 200 units. The amount of material available on a given day is uniformly distributed between 0 and 500 units. a) On a given day, it is known that the amount of material available is at least 150 units. What is the probability that not enough material is available? b) On a given day, it is known that the amount of material available is less than 150 units. What is the probability that not enough material is available? c) If not enough material is available, what is the probability that at least 150 units were available on that day?

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Fall 2009 Hansen 3. Suppose X and Y have the following joint distribution: X=0 X=1 Y=-1 0.1 0.2 Y=0 0.2 0.2 Y=1 0.1 0.2 a) What is the marginal distribution for X?
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Assignment 9 - Fall 2009 Hansen Assignment 9(Mock Midterm...

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