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3.1 Exercise 6

Avg difficulty 2.5

The table describes the distribution of a random sample S of 100 individuals, organized by gender and whether they like tea or coffee.

Tea Coffee
Men 22 26
Women 16 36

Let's denote the events M = the subject is a man, W = the subject is a woman, T = the subject likes tea, and C = the subject likes coffee. Compute the following probabilities:

  1. P(M)
  2. P(W)
  3. P(T)
  4. P(C)
  5. P(M AND T)
  6. P(W and C)
  7. P(M OR W)
  8. P(M OR T)
  9. P(W OR C)
  10. P(M')
  11. P(T|M)
  12. P(W|C)
  13. P(C|W)

OpenStax Introductory Business Statistics 2e, 3.1 Terminology, exercise 6

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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.