Final Review Part A

# Final Review Part A - Math 218 Supplemental Instruction...

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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, Poisson-exponential 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 Poisson-Exponential, 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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Final Review Part A - Math 218 Supplemental Instruction...

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