The following circuit operates if and only if there is a path of functional devices from left to right. The probability that each device functions is as shown. Assume that the prob- ability that device is functional does not depend on whether or not other devices are functional. What is the probability that the circuit operates? Let A denote the upper devices function. Let B denote the lower devices function. (Show complete solution in your answer sheet) 0.70 0.80 0.95 0.95 0.95 0.90 a. 0.9293 b. None among the choices c. 0.9121 Od, 0.4321

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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The following circuit operates if and only if there is a path of functional devices from left to
right. The probability that each device functions is as shown. Assume that the prob- ability that a
device is functional does not depend on whether or not other devices are functional. What is the
probability that the circuit operates? Let A denote the upper devices function. Let B denote the
lower devices function. (Show complete solution in your answer sheet)
0.70
0.80
0.95
0.95
0.95
0.90
a. 0.9293
b. None among the choices
c. 0.9121
d. 0.4321
Transcribed Image Text:The following circuit operates if and only if there is a path of functional devices from left to right. The probability that each device functions is as shown. Assume that the prob- ability that a device is functional does not depend on whether or not other devices are functional. What is the probability that the circuit operates? Let A denote the upper devices function. Let B denote the lower devices function. (Show complete solution in your answer sheet) 0.70 0.80 0.95 0.95 0.95 0.90 a. 0.9293 b. None among the choices c. 0.9121 d. 0.4321
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