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Si - week 3 worksheet

# Si - week 3 worksheet - MATH 218 SI Session(Fall 2008 Week...

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MATH 218 SI Session (Fall 2008) Week 3 Worksheet (09/08 09/14) SI Leader: Joy Chen [email protected] Prof. Lin & Prof. Song www.usc.edu/si Topics Stressed: Probability Trees, Bayes’ Theorem, Discrete Probability Distribution 1. On the first day of classes at UCLA, Tommy realized that he was not happy at the school but he wasn’t the only one. In fact, 55% of the students at the school are not happy. His friend Bob is a happy UCLA student who chose not to leave, and he represents 37.35% of the population. The probability that an unhappy student will stay at UCLA is 21%. Assume that all UCLA students who leave transfer to USC. a. Design a probability tree and insert the probabilities for each branch. b. What is the probability that a student will be unhappy and transfer to USC? c. What is the probability of students staying at UCLA? d. Tommy decided to transfer to USC. What is the probability that a person who transferred out was actually happy at UCLA? 2. A telemarketer sells magazine subscriptions over the telephone. The probability of no answer is 60%. If there is an answer, the probability of 0, 1, or 2 magazine subscriptions is .5, .3, and .2, respectively.

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Si - week 3 worksheet - MATH 218 SI Session(Fall 2008 Week...

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