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A shipment of 50,000 transistors arrives at a manufacturer plant. The quality control engineer at the...

A shipment of 50,000 transistors arrives at a manufacturer plant. The quality control engineer at the plant obtains a random sample of 500 transistors and will reject the entire shipment if 10 or more of the resistors are defective. Suppose that 4% of the resistors in the whole shipment are defective.

  1. Describe the sampling distribution of the sample proportion of defective resistors, Justify your answer.
  1. What is the probability the engineer accepts the shipment? Do you believe the acceptance policy is sound? Justify.
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