Question: The probability that a passenger will attempt to board an airplane with illegal drugs is 0.005 (i.e.P(D)=0.005). Given that a passenger has illegal drugs, the

The probability that a passenger will attempt to board an airplane with illegal drugs is 0.005 (i.e.P(D)=0.005). Given that a passenger has illegal drugs, the probability that the alarm will sound is 0.97 (i.e.P(AD)=0.97). If a passenger does not have illegal drugs, the probability that the alarm will not sound is 0.95 (i.e.P(AcDc)=0.95).

  1. What is the sensitivity of the drug detection machine?
  2. What is the specificity of the drug detection machine?

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