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4.4 Exercise 16

Avg difficulty 2.5

Suppose that the probability that an adult in America will watch the Super Bowl is 40%. Each person is considered independent. We are interested in the number of adults in America we must survey until we find one who will watch the Super Bowl.

  1. In words, define the random variable X.
  2. List the values that X may take on.
  3. Give the distribution of X. X ~ _____(_____,_____)
  4. How many adults in America do you expect to survey until you find one who will watch the Super Bowl?
  5. Find the probability that you must ask seven people.
  6. Find the probability that you must ask three or four people.

OpenStax Introductory Statistics 2e, 4.4 Geometric Distribution, exercise 16

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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.