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  3. suppose that the failure rate (failing to detect s

Suppose that the failure rate (failing to detect smoke when smoke is present) for a brand...

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Question

Statistics

Suppose that the failure rate (failing to detect smoke whensmoke is present) for a brand of smoke detector is 1 in 2000. Forsafety, two of these smoke detector are

installed in a laboratory.

(a) What is the probability that smoke is not detected in thelaboratory when smoke

is present in the laboratory?

(b) What is probability that both detectors sound an alarm whensmoke is present in

the laboratory?

(c) What is the probability that one of the detectors sounds thealarm and the other

fails to sound the alarm when smoke is present in thelaboratory?

Answer & Explanation Solved by verified expert
4.3 Ratings (817 Votes)
Solution It is givenThe probability of failing to detect smoke when smoke is presentisLet F be the events that denote the failure to detectThe probability of    See Answer
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