Detector correctly diagnoses the presence of metal in a jar

Reference no: EM131064395

In a jam factory a metal detector is used to locate pieces of metal in pots of jam. In 95 per cent of the time it will detect metal given it is present and 6 per cent of the time it will detect metal given it is not present. Experience has shown that 2 per cent of pots contain metal.

a. Find the probability that the detector correctly diagnoses the presence of metal in a jar.

b. Find the probability that metal is detected if metal is either present or not.

c. Find the probability that detector correctly diagnoses a jar.

d. Given that 95 per cent of customers would sue if metal was present, find the percentage of pots, not discovered by the detector that would otherwise result in litigation.

Reference no: EM131064395

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