Solved: Exercises 35 to 38 involve a special type of density curve one that takes

Chapter 2, Problem 37

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QUESTION:

Exercises 35 to 38 involve a special type of density curve one that takes constant height (looks like a horizontal line) over some interval of values. This density curve describes a variable whose values are distributed evenly (uniformly) over some interval of values. We say that such a variable has a uniform distribution. Biking accidents What is the mean m of the density curve pictured in Exercise 35? (That is, where would the curve balance?) What is the median? (That is, where is the point with area 0.5 on either side?)

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QUESTION:

Exercises 35 to 38 involve a special type of density curve one that takes constant height (looks like a horizontal line) over some interval of values. This density curve describes a variable whose values are distributed evenly (uniformly) over some interval of values. We say that such a variable has a uniform distribution. Biking accidents What is the mean m of the density curve pictured in Exercise 35? (That is, where would the curve balance?) What is the median? (That is, where is the point with area 0.5 on either side?)

ANSWER:

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The distance along the bike path (miles) is uniformly distributed between 0 and 3 miles. The height is  .

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