Back to 4.4 Geometric Distribution (Optional)

4.4 Exercise 24

Avg difficulty 2.5

According to a recent poll, 75 percent 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 10 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 Statistics, 4.4 Geometric Distribution (Optional), exercise 24

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