The U.S. Department of Transportation recently reported that 80.5% of U.S. airline flights arrived on time.  Find the probability that among 12 randomly selected flights, exactly 11 arrive on time.  Does that probability apply to one individual who must make 12 flights originating in New York?  Explain.

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The U.S. Department of Transportation recently reported that 80.5% of U.S. airline flights arrived on time.  Find the probability that among 12 randomly selected flights, exactly 11 arrive on time.  Does that probability apply to one individual who must make 12 flights originating in New York?  Explain.

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The U.S. Department of Transportation recently reported that 80.5% of U.S. airline flights arrived on time.

p = probability of airline flights arrive on time =0.805

q = 1-p = 0.195

n = Sample size = 12

  • Here Finite number of trial 
  • Each trial is independent from each other and samples are  randomly selected 
  • Probability of success remains constant 
  • There are two outcomes success and failure 
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