The figure shows a parallel system, but in each part of the parallel system there is a series system. 1. Calculate the reliability of this system assuming that the probability that each individual component works is 0.8. 2. Write down a table with the probability mass function of the number of components that work. Then write the cumulative probability mass function. Explain how you find the probability mass function and the cumulative one.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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The figure shows a parallel system, but in each part of the parallel system there is a series system.

1. Calculate the reliability of this system assuming that the probability that each individual component works is 0.8.

2. Write down a table with the probability mass function of the number of components that work. Then write the cumulative probability mass function. Explain how you find the probability mass function and the cumulative one.

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