This preview shows pages 1–5. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Math 425 (Fall 07) Final Exam December 17, 2007 1. A committee of size three is to be selected from a group of 6 Democrats, 5 Independents, and 4 Republicans. What is the probability that the Democrats have a majority on the committee? What is the conditional probability that the Democrats have a majority, given that at least one Republican is on the committee? 2. We have a box containing four coins. The probability of getting head for the ith coin is p = i 4 . One of the coin is drawn from the box and a head is flipped. What is the probability that the ith coin was the coin chosen? 2 3. The time T (in hours) required to repair a machine is an exponential random variable with parameter = 3. The repair company charges the amount X for the repair (in dollars) determined by the formula X = 10 + e T 3 . What is the expected cost of the repair? 3 4. We say that a multiplechoice test is well designed if the chance of passing the test by choosing randomly the answers is less than 5%. Suppose that we have a test for which there are 100randomly the answers is less than 5%....
View
Full
Document
This note was uploaded on 04/24/2010 for the course MATH 425 taught by Professor K during the Spring '10 term at University of MichiganDearborn.
 Spring '10
 k
 Math, Probability

Click to edit the document details