Back to 4.4 Problems on Independence of Events

4.4 Exercise 6

Avg difficulty 2.5

Minterm probabilities p(0)p \left(0\right) through p(15)p \left(15\right) for the opinion survey in Example 4 from "Minterms" are

pm=[0.0850.1950.0350.0850.0800.2000.0350.085 0.0200.0500.0100.0200.0200.0500.0150.015]p m = \left[0 . 085 0 . 195 0 . 035 0 . 085 0 . 080 0 . 200 0 . 035 0 . 085 0 . 020 0 . 050 0 . 010 0 . 020 0 . 020 0 . 050 0 . 015 0 . 015\right]

Show whether or not the class {A,B,C,D}\left\{A , B , C , D\right\} is independent.

Pfeiffer, Applied Probability, 4.4 Problems on Independence of Events, exercise 6

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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.