(c) What are the quartiles? (Round your answers to 2 decimal places.) 1st Quartile inches per second 3rd Quartile inches per second (d) What percentage of subway riders must re-swipe the card because they were outside the acceptable range? (Round your answer to 2 decimal places.)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Passengers using New York's MetroCard system must swipe the card at a rate between 13 and 36 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 5 and 45 inches per second.
(c) What are the
| 1st Quartile | inches per second |
| 3rd Quartile | inches per second |
(d) What percentage of subway riders must re-swipe the card because they were outside the acceptable
Re-swipe %
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