a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to airport A. five go to airport B, and eight goes to airport C. In how many distinct ways can this accomplished?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Question-3
a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to airport A. five
go to airport B, and eight goes to airport C. In how many distinct ways can this accomplished?
b. A smoker detector system uses two devices. CS200 and WS500. If the smoke is present, the probability
that it will be detected by device CS200 is 0.75; and by device WS500 is 0.84; and if the smoke is
detected by device CS200 the probability that it is detected by device WS500 is 0.92.
Find the probability that
I. The smoke will not be detected by device CS200 given that it has detected by device WS500.
II. The smoke will be undetected
III. The smoke will be detected by at least two devices.
Transcribed Image Text:Question-3 a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to airport A. five go to airport B, and eight goes to airport C. In how many distinct ways can this accomplished? b. A smoker detector system uses two devices. CS200 and WS500. If the smoke is present, the probability that it will be detected by device CS200 is 0.75; and by device WS500 is 0.84; and if the smoke is detected by device CS200 the probability that it is detected by device WS500 is 0.92. Find the probability that I. The smoke will not be detected by device CS200 given that it has detected by device WS500. II. The smoke will be undetected III. The smoke will be detected by at least two devices.
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