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6.2 Exercise 10

Avg difficulty 2.5

Minterm probabilities p(0)p \left(0\right) through p(15)p \left(15\right) for the class {A,B,C,D}\left\{A , B , C , D\right\} are, in order,

0 . 072 0 . 048 0 . 018 0 . 012 0 . 168 0 . 112 0 . 042 0 . 028 0 . 062 0 . 048 0 . 028 0 . 010 0 . 170 0 . 110 0 . 040 0 . 032 0 . 072 0 . 048 0 . 018 0 . 012 0 . 168 0 . 112 0 . 042 0 . 028 0 . 062 0 . 048 0 . 028 0 . 010 0 . 170 0 . 110 0 . 040 0 . 032

Determine the distribution for random variable

X = - 5 . 3 I A - 2 . 5 I B + 2 . 3 I C + 4 . 2 I D - 3 . 7 X = - 5 . 3 I_{A} - 2 . 5 I_{B} + 2 . 3 I_{C} + 4 . 2 I_{D} - 3 . 7

Pfeiffer, Applied Probability, 6.2 Problems on Random Variables and Probabilities, exercise 10

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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.