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Math 10C Final Exam
Review Outline
Basic Information for the Final Exam:
The exam will consist of approximately
8 questions, with multiple parts
.
You will
not
be allowed a calculator on the exam, so please do not bring one.
You
should
bring a number two pencil. (You can bring more than one if you feel so
inclined.) You are
not
permitted a page of notes, but a reference sheet with relevant
formulas
will
be provided on the exam. Also
bring your student ID
card
, as we will be
checking those at the exam.
We reserve the right to place your backpacks in the front of the class. Also, don’t worry
about bringing a blue book, as you will be able to write directly on the exam.
The exam will be held
Tuesday, June 12
th
, 2007 from 3:00 – 6:00pm
, in
Peterson 110
.
The test is designed to take about two hours. This means that you should have sufficient
time to go back through your work and check your math. Remember,
does your answer
make sense?
(Draw a picture/plug numbers in.)
Do not cheat on this exam. Cheating will be taken seriously and
you will fail the course
.
So, please do not cheat.
Also, solutions will be posted on my website http://math.ucsd.edu/~wgarner/math10c/
some time after the exam so you can get a rough idea how you did. Finally, grades should
be posted on Tritonlink around June 21
st
.
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View Full DocumentMath 10C Final Exam Review Outline
2
2b
t
3c
P
H
x
L
t
p
H
L
Section 8.7: Distribution Functions
Know the def of a probability density function (pdf) and how to compute a probabilities
 ex. After conducting extensive research, the American Automobile Association
has discovered that the length of time between tuneups for minivans is a
continuous random variable
T
, measured in years, and that the probability
density function for
T
is
1
/3
9
0i
f
0
if
0
()
T
T
Te
T
fT
−
⎧
<
⎪
⎨
≥
⎪
⎩
=
. What is the probability that a
minivan will be driven between one and two years between tuneups?
Know the definition of a cumulative density function (c.d.f.)
Know what each looks like and their respective properties
Know how to tell the differences between a p.d.f. and a c.d.f.
 ex. The graphs of the cdf,
P
(
x
) and pdf,
p
(
x
) are shown below. Using the properties
of a cdf, find the value of
c
. Using the properties of a pdf, find
b
.
Note: Suppose
p
(
t
) is the density function for ages in a population, where
t
is measured in
years.
p
(23) = 0.4. This is
not
telling us that 40% of the population is precisely age
23. Rather,
p
(23) = 0.4 does tell us that for some small interval
D
t
around 23, the
fraction of the population with ages in this interval is approximately
p
(23)
D
t
= 0.4
D
t
.
Section 8.8: Probability, Mean, and Median
Know the definition of mean and median
 The mean is
xpxdx
∞
−∞
∫
and the median is the value
T
such that 0.5
( )
T
pxdx
−∞
=
∫
Know how to find the mean/median given a distribution function
 ex. Suppose
x
measures the time (in seconds) that you wait for the red light to
turn green. The p.d.f. for
x
is given by
1
40
if 0
40
0o
t
h
e
r
w
i
s
e
x
px
⎧
≤ ≤
⎪
⎨
⎪
⎩
=
. What is the
probability that you will wait at least 15 seconds for the red light to turn
green? What is the median wait time for the red light to turn green? What is
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 Winter '07
 Hohnhold
 Math, Calculus

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