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# Suppose that a fire can occur at any one of five points

ISBN: 9780321500465 233

## Solution for problem 9 Chapter 4.5

Probability and Statistics | 4th Edition

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Problem 9

Suppose that a fire can occur at any one of five points along a road. These points are located at 3, 1, 0, 1, and 2 in Fig. 4.9. Suppose also that the probability that each of these points will be the location of the next fire that occurs along the road is as specified in Fig. 4.9. 3 0.2 0.1 0.1 0.4 0.2 1 0 1 2 Road Figure 4.9 Probabilities for Exercise 9. a. At what point along the road should a fire engine wait in order to minimize the expected value of the square of the distance that it must travel to the next fire? b. Where should the fire engine wait to minimize the expected value of the distance that it must travel to the next fire? 1

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Stat notes 2 Categorical data= nominal and ordinal Quantitative data= discrete and continuous Relative frequency table- all #’s in table sum to 1 for percentages Proportion= # in category/ total sample size (risk is the same thing as proportion) How do you know which variable is the response and which is the explanatory Rows= response variable Columns= explanatory variable How do we...

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