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?
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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?
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '10
 hansen
 Probability distribution, Probability theory, Histogram, step size

Click to edit the document details