A manufacturing company produces precut tubing for lawn chairs. Management has decided that they can accept 15% of their production outside the specified tolerances. The floor manager samples 10 parts per hour from the production and stops the line if 2 parts or more from the sample are outside tolerance.

a) If the actual defect rate was 16%, what is the probability that the line would be shut down?

b) For the same defect rate, what is the probability that the line would be shut down if the sample was increased to 20 parts but production was still stopped when 2 defective parts were found in a sample? Would you recommend making this change?

MDM4U probability distributions unit

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