In: Statistics and Probability
A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be
$
28.99
, with a standard deviation of
$
3.79
. Based on this information, complete the following statements about the distribution of the company's fares from O'Hare Airport to the Drake Hotel.
(a) According to Chebyshev's theorem, at least ?56%75%84%89% of the fares lie between 21.41 dollars and 36.57 dollars.
(b) According to Chebyshev's theorem, at least ?56%75%84%89% of the fares lie between 19.515 dollars and 38.465 dollars.
(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately ?68%75%95%99.7% of the fares lie between 21.41 dollars and 36.57 dollars.
(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 99.7% of the fares lie between
dollars
and
dollars
.