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Practice Final for Math 10C
Winter 2010
Disclaimer: There may be problems on the exam that do not appear on this practice exam.
Conversely, there may be problems on this practice exam that are not on the fnal. It is
highly recommended that you complete the homework problems beFore taking this practice.
Please have in mind that I have not checked all answers.
You are welcome to ask any
questions during the oﬃce hours extended For the fnals week.
Thu (Mar 11): 12–5 p.m.
±ri (Mar 12): 2–3 p.m.
Mon (Mar 15): 12–3 p.m.
Tue (Mar 16): 12–3 p.m.
Thu (Mar 18): 12–3 p.m.
Click here For
answers
.
1. (a) ±ind the sum oF the geometric series
S
(
z
)=1+2
z
+(2
z
)
2
z
)
3
+
...
, assuming
that

2
z

<
1.
(b) Solve the equation
S
(
z
)=
−
2.
2. AFter conducting extensive research, the American Automobile Association has dis
covered that the cumulative distribution Function For the length oF time
t
(in years)
between tuneups For minivans is
P
(
t
(
0
,t
<
0
,
1
−
e
−
t/
4
≥
0
.
(a) What is the probability that a minivan will be driven less than two years between
tuneups?
(b) What is the median length oF time that a minivan will be driven between tuneups?
3. The graph below represents a probability density Function For some distribution.
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This note was uploaded on 06/06/2011 for the course MATH 10C taught by Professor Hohnhold during the Fall '07 term at UCSD.
 Fall '07
 Hohnhold
 Math

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