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4.4 Exercise 22

Avg difficulty 2.5

According to a recent Pew Research poll, 75% of millenials (people born between 1981 and 1995) have a profile on a social networking site. Let X = the number of millenials you ask until you find a person without a profile on a social networking site.

  1. Describe the distribution of X.
  2. Find the (i) mean and (ii) standard deviation of X.
  3. What is the probability that you must ask ten people to find one person without a social networking site?
  4. What is the probability that you must ask 20 people to find one person without a social networking site?
  5. What is the probability that you must ask at most five people?

OpenStax Introductory Statistics 2e, 4.4 Geometric Distribution, exercise 22

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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.