MAT521-2006Fall - MAT 521, Fall 2006, Final E xam N ame:...

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MAT 521, Fall 2006, Final Exam Name: This is a closed book, closed notes exam. No calculators are allowed. You must show appropriate work to receive credit, and simplify your answers except in the case of /I counting" problems. Keep your answers exact! Problem Points Score 1 15 2 15 3 20 4 20 5 15 6 15 Bonus 10 I Total 110 I 1
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1. (a) A developer of a new subdivision offers a prospective horne buyer a choice of: 4 floor plans, 3 different heating systems, a garage or carport, and a patio or screened porch. How many different plans are available to this buyer? (b) In how many ways can 4 boys and 5 girls sit in a row of 9 seats if the boys and girls must alternate? Keep in mind these are 9 different individuals. (c) An elevator in a building starts with six passengers and stops at eight (different) floors. If every passenger is equally likely to get off at each floor, and all the passengers leave independently of one another, what is the probability that no two passengers will get off at the same floor. 2
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2. A box contains eight blue cards and four white cards. (a) If two cards are drawn one at a time, with replacement, what is the probability that both cards are blue. (b) If two cards are drawn one at a time, without replacement, what is the probability that both cards are blue. (c) If four cards are selected at random, without replacement, what is the probability that two of the cards will be blue and two will be white. 3
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pdf j(x), if 0 < x < 1 j(x) = { ~x3 otherwise. (a) Find
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This note was uploaded on 06/16/2011 for the course MATH 521 taught by Professor Na during the Spring '11 term at University of North Carolina School of the Arts.

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MAT521-2006Fall - MAT 521, Fall 2006, Final E xam N ame:...

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