SOLUTION: A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $28.46 , with a standard deviation of $3.30 . Based on this information, comp

Question 1068693: A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $28.46 , with a standard deviation of $3.30 . 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 of the fares lie between 21.86 dollars and 35.06 .
(b) According to Chebyshev's theorem, at least of the fares lie between 23.51 dollars and 33.41 .
(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the fares lie between 21.86 dollars and 35.06 .
(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the fares lie between dollars and dollars

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Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a. This is +/- 2 sds, so a minimum of 75% of the fares will lie between those two values
b. This is +/- 1.5 sds, so a maximum of 1/(1.5)^2 lie outside or 0.444. 1-0.444= 0.556 is the minimum percentage that lie in this interval.
c. This would be 95% by the empirical rule
d. this is 1 sd on either side, so $25.16 and $31.76 are the intervals.
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