• A pressure control apparatus contains 3 electronic tubes. The apparatus will not work unless all tubes are operative. If the p

Question

3 years ago

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• A pressure control apparatus contains 3 electronic tubes. The apparatus will not work unless all tubes are operative. If the p

robability of failure of each tube during some interval of time is 0.04, what is the corresponding probability of failure of the apparatus?

Mathematics

1 answer:

german · Answer 1 · 2021-12-22T07:31:22+03:00

Answer:

Therefore, the probability is P=0.000064.

Step-by-step explanation:

We know that a pressure control apparatus contains 3 electronic tubes. The apparatus will not work unless all tubes are operative. If the probability of failure of each tube during some interval of time is 0.04.

We calculate the probability of failure of the apparatus.

We get:

$P=0.04\cdot 0.04\cdot 0.04\\P=0.000064$

Therefore, the probability is P=0.000064.