Question

.......

Answer 1

"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

Answer 2

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

Answer 3

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

Answer 4

no, he made 20 attempts

so pull off 20*2 = 40 digits (each in pairs)

Answer 5

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

Answer 6

what do you mean?

Answer 7

oh you counted 8 successes. I see what you mean now. Let me check

Answer 8

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

Answer 9

correct

Answer 10

got that too

Answer 11

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

Answer 12

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