pt1f07solns[1] - 1 ISyE 3770 - Practice Test #1 + Solutions...

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1 ISyE 3770 — Practice Test #1 + Solutions Fall 2007 1. A box contains 5 red marbles and 3 blues. Two marbles are selected randomly. What is the probability that one is red and one is blue if we sample. .. (a) With replacement? Solution: 5 8 · 3 8 + 3 8 · 5 8 = 15 32 . 2 (b) Without replacement? Solution: ˆ 5 1 3 1 ! ˆ 8 2 ! = 15 28 . 2 2. In a certain population, 70% of the people like The Beatles, 60% like The Rolling Stones, and 50% like The Zombies. In addition, 50% like The Beatles and The Stones, 40% like The Beatles and The Zombies, 40% like The Stones and The Zombies, and 35% like all three music groups. What percentage of people like at least one of the three groups? Solution: Pr ( B ) + Pr ( S ) + Pr ( Z ) - Pr ( BS ) - Pr ( BZ ) - Pr ( SZ ) + Pr ( BSZ ) = 0 . 85 . 2 3. (10 points) How many ways can you scramble the letters in “TENNESSEE”? Solution: 9! 1!4!2!2! = 3780 . 2 4. (10 points) A 5-sided die is thrown 6 times. Find the probability that each face appears at least once.
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This note was uploaded on 08/20/2008 for the course ME 3770 taught by Professor Goldsman during the Spring '08 term at Georgia Institute of Technology.

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pt1f07solns[1] - 1 ISyE 3770 - Practice Test #1 + Solutions...

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