(a)What minimum percentage of commuters in the city has a commube time within 2

Question

(a)What minimum percentage of commuters in the city has a commube time within 2 standard deviaons of the mean What minmm percestage of commters in the cty has acomute Sie within 2 5 sandard deviations of the mean? What are the commute times within 2 5 standard deviations of the mean? them inum percentage of conners in the chy hat has a cornmulo ine wittin 25 standard deviations of the mean is 84o"% (Roundtothe nearest torch as needed) Th. connuite ines within, 2 5 standard deviations etthe mean are between 100e and 455e Type an ineger or a decimal Use ascending order What ne num percentage of commuters who have commute timas betweon 65 minutes and 49.1 minutes? as% (Roundtotn nearest terth as needed ) of

Explanation / Answer

a) By Chebychev's theorem,

Minimum percentage = (1 - 1/22) = 0.75 i.e. 75%

b) Minimum percentage = (1 - 1/2.52) = 0.84 i.e. 84%

The commute time within 2 SD are between (28.3 - 2.5*8.1) and (28.3 + 2.5*8.1) i.e. 8.05 and 48.55 minutes.

c) 88.9%

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