A machine is operating at rate of 10% defective items. If each item is inspected as...

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A machine is operating at rate of 10% defective items. If each item is inspected as...

A machine is operating at rate of 10% defective items. If each item is inspected as it is produced, find the probability that the first defective item found is the fifth item inspected.

math Statistics-And-Probability

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Answer 1

Answer #1

Probability of an item being defective = 0.1

So, probability that an item is not defective = 0.9

So, probability that the first defective item found is the fifth item inspected =

= Probability that the first 4 items inspected is not defective * Probability that the fifth item is defective

= 0.9*0.9*0.9*0.9*0.1

= 0.06561.

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Answer 2

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