Passengers using New York\'sMetroCard system must swipe the card at a rate betwe

Question

Passengers using New York'sMetroCard system must swipe the card at a rate between 10 and 40inches per second, or else the card must be re-swiped through thecard reader. Research shows that actual swipe rates by subwayriders are uniformly distributed between 5 and 50 inches persecond.
a. Mean Swipe rate? I got27.5 b. Standard deviation? I got12.99 c. 1st Quartile? d. 3rd Quartile? What percentage of subway ridersmust re-swipe the card because they were outside the acceptablerange? e. Percentage of subway riders whomust re-swipe? I'm not sure if I'm right or howto find the other parts. Need help, asap, thanks. Passengers using New York'sMetroCard system must swipe the card at a rate between 10 and 40inches per second, or else the card must be re-swiped through thecard reader. Research shows that actual swipe rates by subwayriders are uniformly distributed between 5 and 50 inches persecond.
a. Mean Swipe rate? I got27.5 b. Standard deviation? I got12.99 c. 1st Quartile? d. 3rd Quartile? What percentage of subway ridersmust re-swipe the card because they were outside the acceptablerange? e. Percentage of subway riders whomust re-swipe? I'm not sure if I'm right or howto find the other parts. Need help, asap, thanks.

Explanation / Answer

For C remember 1st quartile is the first one fourth of theentire block if a=5;b=50 What would be the one fourth of that ? Also since the block begins from 5 you will have to add 5 tothe answer above since that will be the point from the zeroethpoint.
d U can do similar to C above for second and thirdquartile
e Try and draw the diagram.The percentage of riders that mustreswipe is the area less than 10 and greater than 40 i.e P(X<10) + P(x>40)
Hope this helps..Good luck..

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