Passengers using New York\'s MetroCard system must swipe the card at a rate betw
ID: 3216834 • Letter: P
Question
Passengers using New York's MetroCard system must swipe the card at a rate between 12 and 40 inches per second, or else the card must be re-swiped through the card reader. Research shows that actual swipe rates by subway riders are uniformly distributed between 3 and 48 inches per second.
What are the quartiles? (Round your answers to 2 decimal places.)
What percentage of subway riders must re-swipe the card because they were outside the acceptable range? (Round your answer to 2 decimal places.)
Passengers using New York's MetroCard system must swipe the card at a rate between 12 and 40 inches per second, or else the card must be re-swiped through the card reader. Research shows that actual swipe rates by subway riders are uniformly distributed between 3 and 48 inches per second.
(a)What are the quartiles? (Round your answers to 2 decimal places.)
1st Quartile inches per second 3rd Quartile inches per second (b)What percentage of subway riders must re-swipe the card because they were outside the acceptable range? (Round your answer to 2 decimal places.)
Re-swipe %Explanation / Answer
here 25th percentile =1st quartile =3+0.25*(48-3)=14.25
and 3rd quartile =75th percentile =3+0.75*(48-3)=36.75
from above percentage of subway riders must re-swipe the card because they were outside the acceptable range
=(((12-3)+(48-40))/(48-3))*100 =(17/45)*100 =37.78%