Back to 3.2 Independent and Mutually Exclusive Events

3.2 Exercise 37

Avg difficulty 2.5

Given events J J and K : P ( J ) = 0.18 ;K : P \left(J\right) = 0.18 ; P ( K ) = 0.37 ;P \left(K\right) = 0.37 ; P ( J ∪ K ) = 0.45 P \left(J \cup K\right) = 0.45

  1. Find P ( J ∩ K ) . P \left(J \cap K\right) .
  2. Find the probability of the complement of event ( J ∩ K ) . \left(J \cap K\right) .
  3. Find the probability of the complement of event ( J ∩ K ) . \left(J \cap K\right) .

OpenStax Introductory Business Statistics 2e, 3.2 Independent and Mutually Exclusive Events, exercise 37

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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.