anonymous
  • anonymous
.......
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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jim_thompson5910
  • jim_thompson5910
"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
jim_thompson5910
  • jim_thompson5910
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
jim_thompson5910
  • jim_thompson5910
Rule: 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

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jim_thompson5910
  • jim_thompson5910
no, he made 20 attempts so pull off 20*2 = 40 digits (each in pairs)
jim_thompson5910
  • jim_thompson5910
98726 10983 56239 42042 76520 68276 58239 48729 turns into 98 72 61 09 83 56 23 94 20 42 76 52 06 82 76 58 23 94 87 29
jim_thompson5910
  • jim_thompson5910
what do you mean?
jim_thompson5910
  • jim_thompson5910
oh you counted 8 successes. I see what you mean now. Let me check
jim_thompson5910
  • jim_thompson5910
yeah I get 8 too 98 .. fail 72 .. fail 61 .. fail 09 .. success 83 .. fail 56 .. fail 23 .. success 94 .. fail 20 .. success 42 .. success 76 .. fail 52 .. success 06 .. success 82 .. fail 76 .. fail 58 .. fail 23 .. success 94 .. fail 87 .. fail 29 .. success
jim_thompson5910
  • jim_thompson5910
correct
jim_thompson5910
  • jim_thompson5910
got that too
jim_thompson5910
  • jim_thompson5910
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
jim_thompson5910
  • jim_thompson5910
or... 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

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