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A production line has three machines A, B, and C, with reliabilities of .90, .95, and .92, respectively. The machines are arranged so that if one breaks down, the others must shut down. Engineers are weighing two alternative designs for increasing the line's reliability. Plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. In either case, three machines (A, B, and C) would be used with reliabilities equal to the original three. a. Compute overall system reliability under Plan 1. (Round your intermediate calculations and final answer to 4 decimal places.) Reliability b. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answer to 4 decimal places.) Reliability

A production line has three machines A, B, and C, with reliabilities of .90, .95, and .92, respectively. The machines are arranged so that if one breaks down, the others must shut down. Engineers are weighing two alternative designs for increasing the line's reliability. Plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. In either case, three machines (A, B, and C) would be used with reliabilities equal to the original three. a. Compute overall system reliability under Plan 1. (Round your intermediate calculations and final answer to 4 decimal places.) Reliability b. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answer to 4 decimal places.) Reliability

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A production line has three machines A, B, and C, with reliabilities of .90, .95, and .92, respectively. The machines are arranged so that if one breaks down, the others must shut down. Engineers are weighing two alternative designs for increasing the line's reliability. Plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. In either case, three machines (A, B, and C) would be used with reliabilities equal to the original three. a. Compute overall system reliability under Plan 1. (Round your intermediate calculations and final answer to 4 decimal places.) Reliability b. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answer to 4 decimal places.) Reliability
Transcribed Image Text:A production line has three machines A, B, and C, with reliabilities of .90, .95, and .92, respectively. The machines are arranged so that if one breaks down, the others must shut down. Engineers are weighing two alternative designs for increasing the line's reliability. Plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. In either case, three machines (A, B, and C) would be used with reliabilities equal to the original three. a. Compute overall system reliability under Plan 1. (Round your intermediate calculations and final answer to 4 decimal places.) Reliability b. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answer to 4 decimal places.) Reliability
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