Mario14a_Spring08

Mario14a_Spring08 - MATH 218 SI Session (Spring 2008) SI...

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MATH 218 SI Session (Spring 2008) SI Leader: Mario Week 14 Worksheet Monday (4/14/08) Professor: Zygouras/Dumett www.usc.edu/si 1. Students from a certain university choose one of three career paths—business, law or medicine. 50% of the students choose medicine, and there is a 30% chance that they will be happy with their decision. 25% of the students choose law and only 10% of those students will be happy with their decision. 40% of all students are happy with their decision. a. Draw a tree diagram for the corresponding information. b. Find the probability that a student chooses to go into business and is happy with his or her decision. c. You’ve been talking to your friends and he has enjoyed the last two years of school, what is the probability that his major is business? 2. Zygouras Accounting Company has 3% of its employees who have attended graduate school. In Department A of the company, there are 500 employees. a. Find the probability that the proportion of employees in this department who have attended graduate school is less than 4%. b. In Department B, there are a total of 250 employees. Find the probability that between 4 and 28 (inclusive) employees from this department have attended graduate school. c. In Department B, find the probability that exactly 20 of them have attended graduate school.
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3. The average number of student organizations that USC students are involved with is represented in the table below. Let X = the average number of organizations that a typical student is involved with. x 0 1 2 3 4 5 P(X = x) 0.15 0.21 0.29 0.19 0.11 0.05 a. What is the probability that a randomly chosen student participated in at least 3 student organizations? b. Given that a student is involved in at least one organization on campus, what is the probability that they are involved in 4 or more organizations? c.
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Mario14a_Spring08 - MATH 218 SI Session (Spring 2008) SI...

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