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The following set of random numbers represents 20 simulations of three daily flights from Philadelphia to Seattle, with 0, 1, 2, or 3 representing a late departure and 4, 5, 6, 7, 8, or 9 representing an on-time departure. In how many of the simulations was there an on-time departure for all three flights?506 619 535 769 096 380 527 555 737 192 092 658 691 320 442 812 968 763 374 282A.4B.5C.3D.6

Question

The following set of random numbers represents 20 simulations of three daily flights from Philadelphia to Seattle, with 0, 1, 2, or 3 representing a late departure and 4, 5, 6, 7, 8, or 9 representing an on-time departure. In how many of the simulations was there an on-time departure for all three flights?506 619 535 769 096 380 527 555 737 192 092 658 691 320 442 812 968 763 374 282A.4B.5C.3D.6

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Solution

To answer this question, we need to count the number of simulations where all three flights departed on time. According to the question, numbers 4, 5, 6, 7, 8, and 9 represent on-time departures.

Let's go through each simulation:

  1. 506 - Late, On-time, On-time
  2. 619 - On-time, On-time, On-time
  3. 535 - On-time, On-time, Late
  4. 769 - On-time, On-time, On-time
  5. 096 - Late, Late, On-time
  6. 380 - Late, On-time, Late
  7. 527 - On-time, Late, On-time
  8. 555 - On-time, On-time, On-time
  9. 737 - On-time, On-time, On-time
  10. 192 - On-time, Late, Late
  11. 092 - Late, Late, On-time
  12. 658 - On-time, On-time, On-time
  13. 691 - On-time, On-time, On-time
  14. 320 - Late, Late, Late
  15. 442 - Late, Late, Late
  16. 812 - On-time, On-time, On-time
  17. 968 - On-time, On-time, On-time
  18. 763 - On-time, On-time, On-time
  19. 374 - Late, On-time, Late
  20. 282 - Late, Late, Late

From the above, we can see that there are 8 simulations where all three flights departed on time. So, none of the options A, B, C, or D is correct.

This problem has been solved

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