Question 8.79

48. Books on reserve at a university library can be checked out for at most 2 hours. The density curve for the amount of time the book is checked out is the shaded triangle shown in Figure 8.28.

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Figure 8.28: Figure 8.28 Amount of time that a book is checked out from the reserve shelf, for Exercise 48.
  1. Explain why Figure 8.28 satisfies the definition of a density curve.
  2. What is the probability that the book is checked out for less than 1 hour?
  3. What is the probability that the book is checked out for more than 1 hour?