Probability of observing no positive reading


Experience has shown that a certain lie detector will show a positive reading (indicates a lie) 10% of the time when a person is telling the truth and 95% of the time when a person is lying. Suppose that a random sample of 5 suspects is subjected to a lie detector test regarding a recent one-person crime. Then the probability of observing no positive reading if all suspects plead innocent and are telling the truth is

(a) 0.409

(b) 0.735

(c) 0.00001

(d) 0.591

(e) 0.99999

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Basic Statistics: Probability of observing no positive reading
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