Students at a major university are complaining of a serious housing crunch. They complain that many students have to commute too far to school because there is not enough housing near campus. University officials respond with the following information: the mean distance commuted to school by students is 14.8 miles, and the standard deviation of the distance commuted is 3.2 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 between 8.4 miles and 21.2 miles.
(b)According to Chebyshev's theorem, at least of the commute distances lie between 6.8 miles and 22.8 miles.