question 2

As calculated in part A), the total reliability of the system is 0.563 . Then, NewTotalRel=0.563+(0.4370.563)=0.8090 Or, another way of cakulating the new total reliability is as follows: NewTotalRel=1(10.563)(10.563)=0.8090 What if there was a 90% reliable switch? Relwithswitch=0.563+[(10.563)0.900.563)]==0.563+(0.4370.900.563)=0.7844 3.2 Practice Problems: 1. Consider the following system: Determine the probability that the system will perform correctly under the following scenarios: a. The system, as shown above. b. Each system component has a backup with a probability of 0.90 and a switch that is 100 percent reliable. c. Each system component has a backup with 0.90 reliability and a switch that is 0.98 reliable. 2. UNCW's admissions department has experienced quality problems lately. An investigation shows that each freshman application must pass through four separate and distinct offices. Two offices have recorded reliability levels of 0.96 , and the other two offices have recorded reliability levels of 0.99 . a. What is the overall reliability that an application will be reviewed successfully? b. If step 1 , which currently has .96 reliability, was given a backup with .96 reliability, what would be the overall reliability of reviewing a freshman application? c. How else could the overall reliability be improved