1. Travelers arriving at Airport, 70% of the travelers fly on major airlines, 20% fly on privately owned planes, and the remainder fly on commercially owned planes not belonging to a major airline. Of those traveling on major airlines, 40% are traveling for business reasons, whereas 70% of those arriving on private planes and 80% of those arriving on other commercially owned planes are traveling for business reasons. Suppose that we randomly select one person arriving at this airport. What is the probability that the traveler is traveling for business (rounded off to two decimals)?
1. Travelers arriving at Airport, 70% of the travelers fly on major airlines, 20% fly on privately owned planes, and the remainder fly on commercially owned planes not belonging to a major airline. Of those traveling on major airlines, 40% are traveling for business reasons, whereas 70% of those arriving on private planes and 80% of those arriving on other commercially owned planes are traveling for business reasons. Suppose that we randomly select one person arriving at this airport. What is the
2. A lie detector will show a positive reading (indicate a lie) 5% of the time when the person is telling the truth and 98% of the time when the person is lying. Suppose two people are suspects in a one-person crime and (for certain) one is guilty and will lie. Assume further that the lie detector operates independently for the truthful person and the liar. What is the probability that the detector shows a positive reading for the guilty suspect and a negative reading for the innocent suspect (rounded off to three decimals)?
3. A lie detector will show a positive reading (indicate a lie) 5% of the time when the person is telling the truth and 98% of the time when the person is lying. Suppose two people are suspects in a one-person crime and (for certain) one is guilty and will lie. Assume further that the lie detector operates independently for the truthful person and the liar. What is the probability that the detector is completely wrong - that is, that it gives a positive reading for the innocent suspect and a negative reading for the guilty suspect (rounded off to three decimals)?
4. Hydraulic landing assemblies coming from an aircraft rework facility are each inspected for defects. Historical records indicate that 8% have defects in shafts only, 6% have defects in bushings only, and 2% have defects in both shafts and bushings. One of the hydraulic assemblies is selected randomly. What is the probability that the assembly has a bushing defect (rounded off to two decimals)?
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