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Back to 4.4 Problems on Independence of Events

4.4 Exercise 36

Avg difficulty 2.5

In a shipment of 20,000 items, 400 are defective. These are scattered randomly throughout the entire lot. Assume the probability of a defective is the same on each choice. What is the probability that

  1. Two or more will appear in a random sample of 35?
  2. At most five will appear in a random sample of 50?

Pfeiffer, Applied Probability, 4.4 Problems on Independence of Events, exercise 36

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.