The Rivera Family has put up a small business, which sells cakes and pastries. It was observed that the time (in minutes) between order placements follows an exponential distribution with a rate parameter of 1/17. After receiving the first order, what is the probability that the family will have to wait: more than 23 minutes for the next order? at most 14.37 minutes for the next order? between 19.05 and 25.40 minutes for the next order?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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The Rivera Family has put up a small business, which sells cakes and pastries. It was observed that the time (in minutes) between order placements follows an exponential distribution with a rate parameter of 1/17. After receiving the first order, what is the probability that the family will have to wait:

  1. more than 23 minutes for the next order?
  2. at most 14.37 minutes for the next order?
  3. between 19.05 and 25.40 minutes for the next order?
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