Chapter 04/4S Reliability Assignment 8 Problem 4S-5 125 e system of a ship is co

Question

Chapter 04/4S Reliability Assignment 8 Problem 4S-5 125 e system of a ship is controlled by a computer that has three major In order for the computer to function properly, all three modules must function. Two of the modules have reliabilities of 92, and the other has a reliability of.99 a. What is the relability of the computer? (Round your answer to 4 decimal places.) Reliability 1ME b. A backup computer identical to the one being used will be installed to improve overall reliability. Assuming the new computer automatically functions if the main one fails determine the resulting reliability. (Round your intermediate calculations and final answers to 4 decimal places.) Reliability c. If the backup coraputer must be lactivated by a switch in the event that the first computer fails, and the switch has a reliablity of 98, what is the overall reliability of mouter must function in order for the the svstem? (Both the switch and the backuo co Prev8o 12 Next>

Explanation / Answer

A. Reliability of the computer = 0.92 * 0.92 * 0.99

= 0.8379

B. Resulting reliability = Prob(works) + Prob(not work) × Prob(backup works)

= 0.8379 + (1 - 0.8379) * 0.8379

= 0.8379 + 0.1358 = 0.9737

C. Overall reliability = Prob(works) + [Prob(not work) × Prob(switch works) × Prob(backup works)

= 0.8379 + ( (1 - 0.8379) * 0.98 * 0.8379)

= 0.8379 + 0.1330

= 0.9709

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