Three businesswomen are trying to convene in Northwest Arkansas for a business m

Question

Three businesswomen are trying to convene in Northwest Arkansas for a business meeting. The first (Woman 1) is arriving on a flight from Atlanta, the second (Woman 2) is arriving on a flight from Dallas, and the third (Woman 3) is arriving on a flight from Chicago. Historical data suggests that the Atlanta flight is on time 81% of the time, the Dallas flight is on time 92% of the time, and the Chicago flight is on time 87% of the time. Furthermore, historical data suggests that the three flights are independent with respect to on time behavior. What is the probability of the outcome associated with flights form Atlanta, Dallas and Chicago being on time, delayed and on time respectively? (Report answer with three decimal places. Answer must be within +/- 0.001 of correct value.)

Explanation / Answer

probability that flights from Atlanta, Dallas and Chicago being on time , delayed and on time respectively

=0.81*(1-0.92)*(0.87)=0.0564

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