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Hw1-ORIE3510_S10

# Hw1-ORIE3510_S10 - ORIE 3510 Homework 1(Introduction to...

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ORIE 3510 – Homework 1 (Introduction to Probability Theory) Instructor: Mark E. Lewis due February 3rd, 2010 (drop box) This homework assignment is designed to give you some practice in probability. Some problems may appear as examples in your text...you still need to do them. 1. A box contains three marbles: one red, one green, and one blue. Consider an experiment that consists of taking one marble from the box then replacing it in the box and drawing a second marble from the box. (a) What is the sample space? (b) If, at all times, each marble in the box is equally likely to be selected, what is the probability of each point in the sample space? (c) Suppose you repeated the experiment above (of drawing two marbles) 1000 times. What proportion would you estimate has the same outcome as first one you listed in part (a). Give a very brief explanation why. 2. A coin is to be tossed until a head appears twice in a row. (a) What is the sample space for this experiment?

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