Consider the following portion of an electric circuit with three relays. Current will flow from point a to point b if there is at least one closed path when the relays are activated. The relays may malfunction and not close when activated. Suppose that the relays act independently of one another and close properly when activated with probability 0.9. a 3 4 b (a) What is the probability that current flows when the relays are activated? (b) Given that current does not flow when the relays are activated, what is the probability that relay 1 has malfunctioned?
Consider the following portion of an electric circuit with three relays. Current will flow from point a to point b if there is at least one closed path when the relays are activated. The relays may malfunction and not close when activated. Suppose that the relays act independently of one another and close properly when activated with probability 0.9. a 3 4 b (a) What is the probability that current flows when the relays are activated? (b) Given that current does not flow when the relays are activated, what is the probability that relay 1 has malfunctioned?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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![Consider the following portion of an electric circuit with three relays. Current will flow from
point a to point b if there is at least one closed path when the relays are activated. The relays
may malfunction and not close when activated. Suppose that the relays act independently
of one another and close properly when activated with probability 0.9.
a
(3)
4
b
(a) What is the probability that current flows when the relays are activated?
(b) Given that current does not flow when the relays are activated, what is the probability
that relay 1 has malfunctioned?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c4e17ef-b0d9-4b71-acab-63a7498114d1%2F017bdfbd-236f-4ff3-b524-03e966885fb9%2Fgjt3v5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following portion of an electric circuit with three relays. Current will flow from
point a to point b if there is at least one closed path when the relays are activated. The relays
may malfunction and not close when activated. Suppose that the relays act independently
of one another and close properly when activated with probability 0.9.
a
(3)
4
b
(a) What is the probability that current flows when the relays are activated?
(b) Given that current does not flow when the relays are activated, what is the probability
that relay 1 has malfunctioned?
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