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PROBABILITY Computations for this are required. Simply providing the answers will not be credited. The number...

PROBABILITY

Computations for this are required. Simply providing the answers will not be credited.

  1. The number of runway incursions is known to follow the binomial distribution. At a particular airport, the probability that a runway incursion will occur is 0.000002, or equivalently, a rate of 2 incursions per million operations (where ‘operations’ correspond to the number of take-offs and landings).

    (a) Calculate the probability that there will be exactly 5 incursions in 2,000,000 operations. (b) If you were to interpret the given rate of 2 incursions per million operations as a failure rate, does the airport pass the 6-sigma requirement? Explain.

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