Answered: Students at a major university are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Students at a major university are complaining of a serious housing crunch. Many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. The university officials respond with the following information: the mean distance commuted to school by students is

14.5

miles, and the standard deviation of the distance commuted is

3.7

miles.

Assuming that the university officials' information is correct, complete the following statements about the distribution of commute distances for students at this university.

(a) According to Chebyshev's theorem, at least

56%

of the commute distances lie between

_miles ? and

_ miles?. (Round your answer to 1 decimal place.)

(b) According to Chebyshev's theorem, at least _% ? (36%56%75%84%89%) of the commute distances lie between

7.1

miles and

21.9

miles.

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