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Back to 3.2 Independent and Mutually Exclusive Events

3.2 Exercise 13

Avg difficulty 2.5

A student goes to the library. Let events B = the student checks out a book and D = the student checks out a DVD. Suppose that P ( B ) = 0.40 P \left(B\right) = 0.40, P ( D ) = 0.30 P \left(D\right) = 0.30 and P ( B ∩ D ) = 0.20 P \left(B \cap D\right) = 0.20.

  1. Find P ( B | D ) P \left(\right. B \left|\right. D \left.\right).
  2. Find P ( D | B ) P \left(\right. D \left|\right. B \left.\right).
  3. Are B and D independent?
  4. Are B and D mutually exclusive?

OpenStax Introductory Business Statistics 2e, 3.2 Independent and Mutually Exclusive Events, exercise 13

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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.