Probability Distributions

Harley Davidson, director of quality control for the Kyoto Motor company is conducting his monthly spot check of automatic transmissions. In this procedure, 10 transmissions are removed from the pool of components and are checked for manufacturing defects. Historically, only 2 percent of the transmissions have such flaws. (Assume that flaws occur independently in different transmissions.)

  1. What is the probability that Harley's sample contains more than two transmissions with manufacturing flaws?
  2. What is the probability that none of the selected transmissions has any manufacturing flaws?

Solution

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