2. Consider the circuit shown in the figure below where the probability that each device functions correctly is provided. Assume that all devices fail independently. 0.9 0.95 0.9 0.99 b 0.95 0.9 (a) What is the probability that the end points a and b are connected? (b) Suppose that, for some reason, you need to replace the two 0.95-device with two new devices, both have the same probability to function correctly, say p. For what minimum value of p the new devices should be installed to get a and b connected with the probability at least 0.927196875? (Your answer should be an exact number, so do not rounding off every number in the calculation.)
2. Consider the circuit shown in the figure below where the probability that each device functions correctly is provided. Assume that all devices fail independently. 0.9 0.95 0.9 0.99 b 0.95 0.9 (a) What is the probability that the end points a and b are connected? (b) Suppose that, for some reason, you need to replace the two 0.95-device with two new devices, both have the same probability to function correctly, say p. For what minimum value of p the new devices should be installed to get a and b connected with the probability at least 0.927196875? (Your answer should be an exact number, so do not rounding off every number in the calculation.)
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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