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4.3 Exercise 27

Avg difficulty 2.5

According to a recent Pew Research poll, 75% of millennials (people born between 1981 and 1995) have a profile on a social networking site. Let X = the number of millennials 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 Business Statistics 2e, 4.3 Geometric Distribution, exercise 27

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