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Math 218 Supplemental Instruction
Spring 2008 Final Review
–
Part A
SI leaders: Mario Panak, Jackie Hu, Christina Tasooji
Chapters 3, 4, and 5 Topics Covered:
General probability (probability laws, conditional, joint probabilities, independence)
Probabil
ity trees and Bayes’ Theorem
Contingency tables
Discrete random variables (probability distribution, cumulative probability distribution,
mean, variance, standard deviation, expected value and variance laws)
Permutations and combinations
Continuous random variables (pdf, cdf, mean and variance using the pdf)
Probability distributions: binomial, hypergeometric, uniform, Poisson, exponential,
Poissonexponential
Normal distribution, standard normal distribution, Z table, Z transformation
A Couple Pointers:
You can have a
handwritten
cheat sheet: 2 sides of an 8.5 x 11 page
Round everything (work and answers) to at least 4 decimal places!!
Remember to show one example of how to simplify a combination by hand
Show all work: if you plug everything into your calculator and spit out an answer, you
will not get any credit
Make a list of all the distribution we’ve covered and match each question to the right
distribution
In PoissonExponential, first figure out which distribution applies to each part (time or
distance interval = exponential, # of occurrences = Poisson)
Make sure your calculator has batteries (and bring extra)!
Good luck!!!
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Spring 2008
Final Review − Part A
1.
A carnival has 3 games. In Game A, there is a 4% chance of winning, in Game B, the player
has a 3% chance, and in Game C, a 2%
chance. It is equally likely that you’ll play any of the
three games.
a.
Draw a tree diagram for this situation. Include all events and probabilities.
b.
Find the probability that you play Game A and win.
c.
Find the probability of winning.
d.
You arrive at the carnival to see that your friend has won a stuffed animal. What is
the probability that she won it at Game A? (Use Bayes’ Theorem)
2.
The average number of home games attended by USC students is represented in the
following probability table. Y = the number of games a student attended:
Y
0
1
2
3
4
5
6
P(Y)
0.07
0.13
0.14
0.24
0.25
0.11
0.06
a.
Find the probability that a random student attended more than 3 games.
b.
Calculate the expected value, variance, and standard deviation for Y.
* Formula for E(Y):
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 '06
 Haskell
 Probability

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