Scenario: Quality assurance is an important aspect of any business. This case study is based on Lyman Limited, a company that manufactures and sells office furniture. They obtain their parts (hinges, chair wheels, etc.) from three different suppliers, A, B and C. Past experience has shown that 20% of the parts are supplied by A, 50% are supplied by B and the rest are supplied by C. It is also known that 10% of the parts supplied by A are defect, 8% of the parts from B are defect and 6% of the parts from C are defect. Question: Workers at Lyman Limited arrive at work at an average rate of 8 workers per hour. Assuming the arrival times follow a Poisson distribution, calculate the probability that a manager will observe the following: a) exactly 6 workers arriving in a given hour. b) at least 2 workers arriving in a 15-minute period.
Scenario:
Quality assurance is an important aspect of any business. This case study is based on Lyman Limited, a company that manufactures and sells office furniture. They obtain their parts (hinges, chair wheels, etc.) from
three different suppliers, A, B and C. Past experience has shown that 20% of the parts are supplied by A, 50% are supplied by B and the rest are supplied by C. It is also known that 10% of the parts supplied by A are defect,
8% of the parts from B are defect and 6% of the parts from C are defect.
Question:
Workers at Lyman Limited arrive at work at an average rate of 8 workers per hour. Assuming the arrival times follow a Poisson distribution, calculate the probability that a manager will observe the following:
a) exactly 6 workers arriving in a given hour.
b) at least 2 workers arriving in a 15-minute period.
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