Students at a major university are complaining of a serious housing crunch. Many of the university' sstudents, they complain,

Question

Students at a major university are complaining of a serious housing crunch. Many of the university' sstudents, 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 15.7 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? of the commute distances lie within 2.5 standard deviations of the mean, 15.7 miles.
(b) Suppose that the distribution is bell-shaped. If approximately 99.7% of the commute distances lie between 5.2 miles and 26.2 miles, then the approximate value of the standard deviation for the distribution, according to the empirical rule, is .

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