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7.3 Exercise 3

Avg difficulty 2.5

(See Exercise 12 from "Problems on Random Variables and Probabilities"). The class {A,B,C,D}\left\{A , B , C , D\right\} has minterm probabilities

p m = 0 . 001 * [ 5 7 6 8 9 14 22 33 21 32 50 75 86 129 201 302 ] p m = 0 . 001 \star \left[5 7 6 8 9 14 22 33 21 32 50 75 86 129 201 302\right]

Determine and plot the distribution function for the random variable X=IA+IB+IC+IDX = I_{A} + I_{B} + I_{C} + I_{D}, which counts the number of the events which occur on a trial.

Pfeiffer, Applied Probability, 7.3 Problems on Distribution and Density Functions, exercise 3

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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.