Question

You create a model to simulate the number of passes a football quarterback

completes. If you know the quarterback completes 61.8% of his passes, and you
assign the numbers (000 - 617) to be completed passes, is the simulation
accurate?
312 545 315 846 158 786 451 329 887 569 523 411 521 984 653 815 945 215
628 761

Answer 1

If we assume that the quarterback completes 61.8% of his passes, then we would expect that the number of completed passes would be approximately 61.8% of the total number of passes attempted. In this case, the total number of passes attempted is 618, since we are assigning the numbers (000 - 617) to be completed passes.

61.8% of 618 is approximately 382, so we would expect the number of completed passes to be around 382. However, the list of numbers provided has a range from 158 to 984, with a mean of approximately 541. Therefore, the simulation is not accurate, since the expected number of completed passes (382) is quite different from the mean of the list of numbers provided (541).