Back to 7.3 Problems on Distribution and Density Functions

7.3 Exercise 1

Avg difficulty 2.5

(See Exercises 3 and 4 from "Problems on Random Variables and Probabilities"). The class {Cj:1≤j≤10}\left\{C_{j} : 1 \leq j \leq 10\right\} is a partition. Random variable X has values {1,3,2,3,4,2,1,3,5,2}\left\{1 , 3 , 2 , 3 , 4 , 2 , 1 , 3 , 5 , 2\right\} on C1 through C10, respectively, with probabilities 0.08, 0.13, 0.06, 0.09, 0.14, 0.11, 0.12, 0.07, 0.11, 0.09. Determine and plot the distribution function FX.

Pfeiffer, Applied Probability, 7.3 Problems on Distribution and Density Functions, 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.