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4.3 Exercise 38

Avg difficulty 2.5

Let X = the number of games won in that upcoming month.

The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 20-year period. Assume each year is independent.

  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 audits are expected in a 20-year period?
  5. Find the probability that a person is not audited at all.
  6. Find the probability that a person is audited more than twice.

OpenStax Introductory Statistics 2e, 4.3 Binomial Distribution, exercise 38

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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.