Passengers using New York\'s MetroCard system must swipe the card at a rate betw
ID: 3048757 • Letter: P
Question
Passengers using New York's MetroCard system must swipe the card at a rate between 10 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 6 and 46 inches per second.
What is the mean swipe rate? (Round your answer to 2 decimal places.)
What is the standard deviation of the swipe rate? (Round your answer to 2 decimal places.)
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 10 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 6 and 46 inches per second.
Explanation / Answer
a)(6+46)/2 = 52/2 = 26
b)(46-6)/sqrt(12) = 44/sqrt(12) = 11.54
c) Q1: 6 + (46-6)/4 = 6 + 40/4 = 16
Q3: 6+(46-6)/4*3 = 6 + 120/4 =36
d) (10-6)/(46-6) + (46-40)/(46-6) = 10/40 = .25