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" 95% of the time, the Dallas flight is on time 85% of the time, and the Chicago flight is on time 80% of the time. Furthermore, historical data suggests that the three flights are independent with respect to on time behavior. Which of the following describes the sample space for this experiment? S = {On time, Delayed) s = { OOO, OOD, ODO, ODD, DOO, DOD, DDO, DDD} Which "O" and "D" denote the flight status (O: on time, D: delayed) S= { Atlanta, Dallas, Chicago) None of the above

Explanation / Answer

Here we have given that

3 businesswomen are trying to convence in northwest Arkansas for business meeeitng.

Here we want to findout sample space for this experiment

we know that

sample space is the set of all possible outcomes for an activity or an experiment.

here in this experiment we have 3 womens which have different fights on differents areas.

And all three are trying to convene in northwest arkansas .

here we have 8 possible outcomes like flight is on time or delay.

So here sample space is

S=( 000,00D,0D0, 0DD,D00,D0D,DD0,DDD)

Which "O" and "D" denote the flight status (o: on time and D : Delayed )

So here option B is correct.

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