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"A quarterback for the seattle seahawks completes 54% of his passes"
so P(completion) = 0.54
we can use the random number table to simulate the quarterback throwing the football
So here's what we do
98726 10983 56239 42042 76520 68276 58239 48729 84912 87491
is read off 2 digits at a time
98, 72, 61, etc
if the number is between 00 and 53 (inclusive), then we have a success. The pass worked
if the number is between 54 and 99 (inclusive), then we have a failure. The pass didn't work
very good. The experimental probability is 40% or 0.40 while the theoretical probability is 54% or 0.54
so ideally, if he attempted more passes, then the experimental probability should get closer and closer to the theoretical probability
there is the possibility some error happened somewhere, or that his throwing style changed or something. it's possible he could throw worse as time wears on. If that's the case, then the population proportion would decrease over time