I. The guidance system of a ship has four modules that must all function properl
ID: 328213 • Letter: I
Question
I. The guidance system of a ship has four modules that must all function properly for the system to work. Two of the modules have reliability of.96, the other two have a reliability of .95. a. Compute the reliability of the system. b. A backup system identical to the first will be added to the ship. The backup will be switched on automatically if the first system fails. Assuming that the switch to the backup works perfectly, what is the reliability of the ship's guidance system now? Show your calculations. c. Extra credit (10 points). This part is not required. Suppose the backup switch is only 93% reliable. What is your new (revised) answer for the question posed in part b. above? Show your calculations.Explanation / Answer
answer
a. First we can need to find the reliability of the computer
The reliability of the system to work depends upon the odds of the modules to work at same time
= (0.96) * (0.96) * (0.95) = 0.87552
b. the backup system identical to the work, having the same reliability means our system will work if either one of them works or when both of them work
= 1- probability that both systems don’t work
= 1- (1-0.87552) ^2 = 0.9845