4. A manufacturing process claims to produce no more than 1% defective items. A QC staff goes inspecting items one after another randomly until he/she finds the first defective one. (a) If the process exactly produces 1% defective items, what is the probability that to find the first defective item he/she needs to inspect at MOST 10 items? (b) How many items does the staff EXPECT to inspect to find the first defective one, if the claim is true? (c) If the staff got the first defective item at exactly the 10th inspection, will it be a convincing evidence against the claim? (This requires an understanding of the meaning of probability)

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4. A manufacturing process claims to produce no more than 1% defective items. A QC staff goes inspecting items
one after another randomly until he/she finds the first defective one.
(a) If the process exactly produces 1% defective items, what is the probability that to find the first defective
item he/she needs to inspect at MOST 10 items?
(b) How many items does the staff EXPECT to inspect to find the first defective one, if the claim is true?
(c) If the staff got the first defective item at exactly the 10th inspection, will it be a convincing evidence against
the claim? (This requires an understanding of the meaning of probability)
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Transcribed Image Text

4. A manufacturing process claims to produce no more than 1% defective items. A QC staff goes inspecting items one after another randomly until he/she finds the first defective one. (a) If the process exactly produces 1% defective items, what is the probability that to find the first defective item he/she needs to inspect at MOST 10 items? (b) How many items does the staff EXPECT to inspect to find the first defective one, if the claim is true? (c) If the staff got the first defective item at exactly the 10th inspection, will it be a convincing evidence against the claim? (This requires an understanding of the meaning of probability)

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