Back to 4.4 Problems on Independence of Events

4.4 Exercise 1

Avg difficulty 2.5

The minterms generated by the class {A,B,C}\left\{A , B , C\right\} have minterm probabilities

p m = [ 0 . 15 0 . 05 0 . 02 0 . 18 0 . 25 0 . 05 0 . 18 0 . 12 ] p m = \left[0 . 15 0 . 05 0 . 02 0 . 18 0 . 25 0 . 05 0 . 18 0 . 12\right]

Show that the product rule holds for all three, but the class is not independent.

Pfeiffer, Applied Probability, 4.4 Problems on Independence of Events, exercise 1

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.