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01 Problemas REIF 1.3 - 1.5 - 1.9 -1.10 - 1.13 - 1.24

# 01 Problemas REIF 1.3 - 1.5 - 1.9 -1.10 - 1.13 - 1.24 -...

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Problem Set 1 (due Sept. 5, 2001) and Question Bank 1 August 29, 2001 1 Problem set Reif, 1.3, 1.5, 1.9, 1.10, 1.13, 1.24. 2 Question Bank I.1. Probabilities and numbers of trials . Suppose someone offers you a choice between (a) \$150 if a single roll of a die turned up “6”; or (b) a definite prize of \$20. Which would you choose, and why? What if the choice was between (c) \$150 for each “6” that turns up in 30 rolls; or (d) a definite prize of \$600? I.2. Permutations . Consider 100 distinct names written on cards in a hat. Suppose the cards are mixed thoroughly, and then pulled out one at a time to form a list. What is the probability that the names on that list will be in alphabetical order? How many times would I have to repeat this procedure for there to be a greater than 50% chance of the alphabetic list turning up at least once? I.3. Permutations . Proteins are chain molecules (polymers) made up of amino acids. There are twenty common amino acids. Let’s consider fairly short proteins, containing 153 amino

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01 Problemas REIF 1.3 - 1.5 - 1.9 -1.10 - 1.13 - 1.24 -...

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