# Question: A series system consists of two components having the reliabilities

A series system consists of two components having the reliabilities 0.98 And 0.99, respectively, connected to a parallel subsystem containing five components having the reliabilities 0.75, 0.60, 0.65, 0.70, And 0.60, respectively. Find the system reliability.

## Relevant Questions

Duplicate the method of proof used in Exercise 2.12 to show that P(A ∪ B ∪ C ∪ D) = P(A) + P(B) + P(C) + P(D) - P(A ∩ B) - P(A ∩ C) - P(A ∩ D) - P(B ∩ C) - P(B ∩ D) - P(C ∩ D) + P(A ∩ B ∩ C) + P(A ∩ B ...Show by means of numerical examples that P(B| A) + P(B| A') (a) May be equal to 1; (b) Need not be equal to 1. If events A, B, And C are independent, show that (a) A And B ∩ C are independent; (b) A And B ∪ C are independent. An electronics firm plans to build a research lab-oratory in Southern California, And its management has to decide between sites in Los Angeles, San Diego, Long Beach, Pasadena, Santa Barbara, Anaheim, Santa Monica, And ...With reference to Exercise 2.46 And Figure 2.13, what events are represented by (a) Regions 1 And 2 together; (b) Regions 2 And 4 together; (c) Regions 1, 2, And 3 together; (d) Regions 2, 3, And 4 together? In ...Post your question