2.98 With relays operating as in Exercise 2.97, compare the probability of current flowing from to b in the series system shown A with the probability of flow in the parallel system shown. A (2 2

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2.98
B
With relays operating as in Exercise 2.97, compare the probability of current flowing from a
to b in the series system shown
B
with the probability of flow in the parallel system shown.
B
Loccurs is a
Transcribed Image Text:2.98 B With relays operating as in Exercise 2.97, compare the probability of current flowing from a to b in the series system shown B with the probability of flow in the parallel system shown. B Loccurs is a
2.97 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 a probability of .9.
a What is the probability that current will flow when the relays are activated?
b Given that current flowed when the relays were activated, what is the probability that relay
1 functioned?
Transcribed Image Text:2.97 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 a probability of .9. a What is the probability that current will flow when the relays are activated? b Given that current flowed when the relays were activated, what is the probability that relay 1 functioned?
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