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Back to 3.2 Independent and Mutually Exclusive Events

3.2 Exercise 12

Avg difficulty 2.5

Let event C = taking an English class. Let event D = taking a speech class.

Suppose P(C) = 0.75P \left(C\right) = 0.75, P(D) = 0.3P \left(D\right) = 0.3, P(C|D) = 0.75P \left(\right. C \left|\right. D \left.\right) = 0.75 and P ( C ∩ D ) = 0.225 P \left(C \cap D\right) = 0.225.

Justify your answers to the following questions numerically.

  1. Are C and D independent?
  2. Are C and D mutually exclusive?
  3. What is P ( D | C )P \left(\right. D \left|\right. C \left.\right)?

OpenStax Introductory Business Statistics 2e, 3.2 Independent and Mutually Exclusive Events, exercise 12

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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.