problemset11 - STAT/MA 416 September 16, 2011 Problem Set...

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STAT/MA 416 September 16, 2011 Problem Set 11 Name: 1a. Variance of an Indicator. Suppose event A occurs with probability p , and X is an indicator for A , i.e., X = 1 if A occurs, or X = 0 otherwise. We already know E ( X ) = p . Find Var( X ). 1b. Butterflies. Alice, Bob, and Charlotte are looking for butterflies. They look in three separate parts of a field, so that their probabilities of success do not affect each other. Alice finds 1 butterfly with probability 17%, and otherwise does not find one. Bob finds 1 butterfly with probability 25%, and otherwise does not find one. Charlotte finds 1 butterfly with probability 45%, and otherwise does not find one. Let X be the number of butterflies that they catch altogether. Find the variance of X . 1
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2. Appetizers. At a restaurant that sells appetizers: 8% of the appetizers cost $1 each, 20% of the appetizers cost $2 each, 32% of the appetizers cost $3 each, 40% of the appetizers cost $4 each. An appetizer is chosen at random, and
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This note was uploaded on 02/28/2012 for the course STAT 416 taught by Professor Staff during the Fall '08 term at Purdue University-West Lafayette.

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problemset11 - STAT/MA 416 September 16, 2011 Problem Set...

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