A manufacturer who produces medicine bottles finds that 0.1% of the bottles are defective. The bottles are packed in boxes containing 500 bottles. A drug manufacturer buys 100 boxes from the producer of bottles. Using Poisson distribution, find how many boxes will contain: (a) No defective: (b) At least two defectives (given e-0.5 = 0.6065) (c) If the manufacturer guarantees that not more than two bottles will be defective in a box, find the probability that (i) the manufacturer will not receive any complaint (ii) the box will fail to meet the guaranteed quality.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A manufacturer who produces medicine bottles finds that 0.1% of the bottles are defective. The
bottles are packed in boxes containing 500 bottles. A drug manufacturer buys 100 boxes from the
producer of bottles. Using Poisson distribution, find how many boxes will contain:
(a) No defective:
(b) At least two defectives (given e
(c) If the manufacturer guarantees that not more than two bottles will be defective in a box, find
-0.5
= 0.6065)
the probability that (i) the manufacturer will not receive any complaint (ii) the box will fail to
meet the guaranteed quality.
Transcribed Image Text:A manufacturer who produces medicine bottles finds that 0.1% of the bottles are defective. The bottles are packed in boxes containing 500 bottles. A drug manufacturer buys 100 boxes from the producer of bottles. Using Poisson distribution, find how many boxes will contain: (a) No defective: (b) At least two defectives (given e (c) If the manufacturer guarantees that not more than two bottles will be defective in a box, find -0.5 = 0.6065) the probability that (i) the manufacturer will not receive any complaint (ii) the box will fail to meet the guaranteed quality.
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