О P(r) The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of six syringes taken from the batch. Suppose the batch contains 5% defective syringes. (a) Make a histogram showing the probabilities of r = 0, 1, 2, 3, 5 and 6 defective syringes in a random sample of six syringes. 0.80 P(r) 0.70 0.60 0.50 0.40 0.30 0.20 0.10 0 0 1 2 3 4 5 6 r P(r) 0.80 0.70 0.60- 0.50 0.40- 0.30 0.20 0.10 0 0 1 2 3 4 5 6 r 0.80 0.80 0.70 0.70 0.60 0.60 0.50 0.50- 0.40 P(r) 0.40 0.30 0.30 0.20 0.20 0.10 0.10- 0 0 0 1 2 3 4 5 6 0 1 2 3 4 5 6 r r (b) Find μ. (Enter your answer to two decimal places.) με syringes What is the expected number of defective syringes the inspector will find? (Enter your answer to two decimal places.) syringes (c) What is the probability that the batch will be accepted? (Round your answer to three decimal places.) σ = (d) Find σ. (Round your answer to three decimal places.) syringes
О P(r) The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of six syringes taken from the batch. Suppose the batch contains 5% defective syringes. (a) Make a histogram showing the probabilities of r = 0, 1, 2, 3, 5 and 6 defective syringes in a random sample of six syringes. 0.80 P(r) 0.70 0.60 0.50 0.40 0.30 0.20 0.10 0 0 1 2 3 4 5 6 r P(r) 0.80 0.70 0.60- 0.50 0.40- 0.30 0.20 0.10 0 0 1 2 3 4 5 6 r 0.80 0.80 0.70 0.70 0.60 0.60 0.50 0.50- 0.40 P(r) 0.40 0.30 0.30 0.20 0.20 0.10 0.10- 0 0 0 1 2 3 4 5 6 0 1 2 3 4 5 6 r r (b) Find μ. (Enter your answer to two decimal places.) με syringes What is the expected number of defective syringes the inspector will find? (Enter your answer to two decimal places.) syringes (c) What is the probability that the batch will be accepted? (Round your answer to three decimal places.) σ = (d) Find σ. (Round your answer to three decimal places.) syringes
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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The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of six syringes taken from the batch. Suppose the batch contains 5% defective syringes. Answer parts a-d.
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