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problemset01 - STAT/MA 416 Problem Set 1 Name 1 Choosing...

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STAT/MA 416 August 22, 2011 Problem Set 1 Name: 1. Choosing points at random. (a.) A point is chosen at random inside in the triangle in Figure 1. What is the sample space? [Please give mathematical expression(s), rather than just ( x, y ) is “in the triangle”.] x y 0 1 2 1 2 Figure 1: A triangle. (b.) A point is chosen at random in the quadrilateral in Figure 2. What is the sample space? [Hint: It might be helpful to give bounds on the x coordinate and then give bounds on the y coordinate.] x y 0 1 2 3 4 1 2 Figure 2: A quadrilateral. 1

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2. Socks. A matching pair of blue socks, a matching pair of red socks, and one lone white right-footed sock are in a drawer. The socks are pulled out of the drawer, one at a time. Suppose the color and the “foot” of the sock are both noted as all five socks are consec- utively pulled out of the drawer. Then, for instance, a possible outcome is: (“blue right”, “white right”, “red left”, “red right”, “blue left”) .
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problemset01 - STAT/MA 416 Problem Set 1 Name 1 Choosing...

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