The arrival of an item ordered in Amazon is assumed to follow the exponential distribution with parameter λ. On average, the item is expected to arrive in 2 days. Calculate λ. What is the probability that you will receive the item within the first 24 hours? What is the probability that the item will arrive late after 5 days?

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
Problem 61CR
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The arrival of an item ordered in Amazon is assumed to follow the exponential distribution with parameter λ. On average, the item is expected to arrive in 2 days.

  1. Calculate λ.
  2. What is the probability that you will receive the item within the first 24 hours?
  3. What is the probability that the item will arrive late after 5 days? 
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