Back to 5.3 The Exponential Distribution

5.3 Exercise 51

Avg difficulty 2.5


Use the following information to answer the next three exercises. The average lifetime of a certain new smartphone is three years. The manufacturer will replace any smartphone failing within two years of the date of purchase. The lifetime of these smartphones is known to follow an exponential distribution.

What is the median lifetime of these phones (in years)?

  1. 0.1941
  2. 1.3863
  3. 2.0794
  4. 5.5452

OpenStax Introductory Statistics 2e, 5.3 The Exponential Distribution, exercise 51

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.