The guidance system of a ship is controlled by a computer that has three major m

Question

The guidance system of a ship is controlled by a computer that has three major modules. In order for the computer to function properly, all three modules must function. Two of the modules have reliabilities of .97, and the other has a reliability of .99. A). What is the reliability of the computer? (Round your answer to 4 decimal places.) 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 answer to 4 decimal places.) C) If the backup computer must be activated by a switch in the event that the first computer fails, and the switch has a reliability of .98, what is the overall reliability of the system? (Both the switch and the backup computer must function in order for the backup to take over.) (Round your intermediate calculations and final answer to 4 decimal places.) I have ask this question twice already and both answer is wrong. Please attempt if you are very sure of how to do. I don't want to use up my questions. Please forgive me if this sound rude. I want to see the work so I can learn how to do it. thank you so much

Explanation / Answer

1) Reliability of Computer = 0.97*0.97*0.99=0.9315 2) Reliability of computer in case of standby = 1- ( probability of fail)= 1-({1-0.9315)*(1-0.9315)})= 0.99530775 3) Reliability of computer in case of standby with a switch= reliability of without switch * reliability of switch = 0.9953*0.98 =0.9753

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