You are given the following system that consists of one controller and three peripherals (P1, P2, and P3): P1 P2 Controller P2 P3 P1 P3 By inspection, it turns out that this system is up if the controller and at least 2 of the peripherals are functioning. The controller fails with a probability of p and any peripheral fails with a probability of a. All events are independent. If p=1/3 and a=1/2, what is the probability that the system is up?
You are given the following system that consists of one controller and three peripherals (P1, P2, and P3): P1 P2 Controller P2 P3 P1 P3 By inspection, it turns out that this system is up if the controller and at least 2 of the peripherals are functioning. The controller fails with a probability of p and any peripheral fails with a probability of a. All events are independent. If p=1/3 and a=1/2, what is the probability that the system is up?
MATLAB: An Introduction with Applications
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![Select one:
O 1/9
O 1/3
O 1/4
O 1/2
O 1/6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbdd1ad96-62b7-4acb-a554-ca2a9af4e853%2F40d3f475-12be-4f2a-acb7-a816441abbe9%2Fquzoe36_processed.png&w=3840&q=75)
Transcribed Image Text:Select one:
O 1/9
O 1/3
O 1/4
O 1/2
O 1/6
![You are given the following system that consists of one controller and three peripherals (P1, P2,
and P3):
P1
P2
Controller
P2
P3
P1
P3
By inspection, it turns out that this system is up if the controller and at least 2 of the peripherals
are functioning. The controller fails with a probability of p and any peripheral fails with a
probability of a. All events are independent.
If p=1/3 and a=1/2, what is the probability that the system is up?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbdd1ad96-62b7-4acb-a554-ca2a9af4e853%2F40d3f475-12be-4f2a-acb7-a816441abbe9%2Fh89f034_processed.png&w=3840&q=75)
Transcribed Image Text:You are given the following system that consists of one controller and three peripherals (P1, P2,
and P3):
P1
P2
Controller
P2
P3
P1
P3
By inspection, it turns out that this system is up if the controller and at least 2 of the peripherals
are functioning. The controller fails with a probability of p and any peripheral fails with a
probability of a. All events are independent.
If p=1/3 and a=1/2, what is the probability that the system is up?
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