Quantitative Analysis

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Project1-CLT.xlsx.xlsx
Home>Mathematics homework help>Statistics homework help>Quantitative Analysis

n=10

Flip coin 10 times
Outcome
0 0.5 Tail
1 0.5 Head
50 Trials
Trial 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1
1 1 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0
1 0 1 1 1 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0
0 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0
1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 1 1
1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 1 1 0 1 1
1 0 1 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0
0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1
0 1 0 1 0 0 1 0 1 0 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1
0 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 1 1 0 0 1 1 1 0 1 0 1 0 0
% heads 0.5 0.5 0.7 0.7 0.3 0.5 0.4 0.3 0.6 0.7 0.5 0.5 0.4 0.6 0.5 0.2 0.6 0.5 0.5 0.6 0.6 0.4 0.5 0.6 0.6 0.6 0.3 0.5 0.6 0.7 0.7 0.8 0.6 0.5 0.5 0.2 0.5 0.4 0.4 0.5 0.4 0.7 0.4 0.5 0.5 0.7 0.5 0.7 0.5 0.5

n=100

Flip coin 100 times
Outcome
0 0.5 Tail
1 0.5 Head
50 trials
Trial 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
1 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1 0 1 0 0 0 0
1 0 0 1 0 0 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0
0 0 1 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 1 1 0 0 1 0 0 1 1 1
0 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 1 0 1 1 0 1
1 0 1 0 0 1 1 1 0 1 1 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 0 1 0 0 1 1 1 1 0 1 0 1 1
0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0
1 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 1
0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 1 1 1
1 1 0 1 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0
0 1 1 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0
0 0 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1 0
0 1 0 1 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0
0 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 0
1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 1 0 1 0 1 0 0 1
1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1
1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1
1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 0
0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1
1 1 1 0 0 1 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0
1 0 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1
1 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1
1 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 1
1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 0 1 0 1 1 1 1
1 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0
1 1 0 0 1 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0
0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 1
0 0 0 0 0 1 1 1 0 0 0 1 1 0 0 1 1 0 0 1 0 1 1 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 1 1 0 0 1 0 1 0 0 1
1 0 1 1 0 0 0 1 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0
1 0 1 1 0 1 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 0 1
1 1 1 0 0 1 1 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 1 0 1 1 1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1
1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 0 0
1 1 0 0 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 1 1
0 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1 1 1 0
0 1 0 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 1 1 0 0
0 0 1 0 0 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1
1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 0 0
1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 1 0 1 0 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1 1
0 1 1 1 0 1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 1
1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 0 0 1 0 0 1 0 1
1 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 1 1 0
1 0 1 0 1 0 1 0 0 1 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 1 0 0
1 0 1 1 1 0 1 1 1 0 1 0 0 1 0 0 1 1 1 0 1 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1
1 1 1 1 1 0 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 1 0 0 1 0 0 0 1 0 1 0 1 0
1 0 1 1 0 0 0 0 0 1 1 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 1 0 1 0 0 1 1 1
0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0
0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1
0 0 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 1 1 0 0 1 0 1
1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1 0
1 1 0 1 0 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 0 0 1 1 1 1 0
0 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0
0 1 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 0 0 1 1 0 0 1
1 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 0 1 1 1
0 0 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 1 1 1
0 0 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 1 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1
1 0 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 1 1 0 0 0 0 0
0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 0 1 1
1 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 1
0 0 1 0 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 1 1 0 0
0 0 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 1 1 1 1 0 1 0 1 0 1 1 1 0 0
0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1
1 0 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 1 0 1 0 0 0 1 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1
0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 0 1 0 0 0
1 0 1 1 0 1 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0
0 0 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0
0 1 0 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 0 0 0
0 1 1 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 1 0 0 0 0
1 0 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 1 1 0 0 1
1 1 1 0 0 0 1 1 0 1 1 0 0 1 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 1 1
1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 0 1 1 1 0 1 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1
0 1 1 0 0 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 0 0 1 1 0 1 1 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 0 0
0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 1 0 0 1 1
1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 0 1 0 1 0 0
1 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 1
1 0 1 1 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1
1 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1
0 1 0 1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 0 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 0 1 0
1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0
0 0 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1 0 1 0 0 1 1 0 1
0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1
0 1 1 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1
1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 1 1 0 0 1
0 1 1 1 0 0 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0
0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 1 1 1 0 1
0 1 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 1 1 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 1
0 1 0 1 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 0 0
0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0
1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1
1 1 1 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0
0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 1 0 1 1 1 0 1 0 1 0 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0
0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1
0 0 1 0 0 1 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 1
1 0 1 0 0 1 0 0 0 1 1 1 1 0 1 0 1 0 1 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1
1 0 0 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 1 1 0
1 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 1 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 1 0
1 0 0 1 0 1 1 0 1 1 0 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 1 0
1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 0
0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1
0 0 0 1 0 0 0 1 0 1 0 0 0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1
0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 1 1
% heads 0.5 0.5 0.6 0.5 0.4 0.5 0.5 0.5 0.5 0.6 0.5 0.5 0.4 0.4 0.6 0.6 0.5 0.4 0.4 0.5 0.6 0.5 0.5 0.5 0.6 0.5 0.5 0.5 0.4 0.5 0.4 0.5 0.4 0.5 0.5 0.4 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.4 0.6 0.4 0.6 0.5 0.5 0.5

n=1000

Flip coin 1000 times
Outcome
0 0.5 Tail
1 0.5 Head
50 trials
Trial 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
0 0 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1
0 0 1 0 1 0 1 0 1 1 0 0 1 1 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1
0 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0
0 0 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 0
0 0 0 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0
0 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 0 0 1 1
1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 0 1 0 1 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0 0 1 1 0
0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0
0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0 1
1 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1
0 1 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0 1 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 1 0 0
1 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 1 1
1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0
0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 0
0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1 1 0 1 0 0
1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 1
0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 1 1 0 0
0 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 0 1
0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 1 1 1 1 1
0 1 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0 0 0 0 1
0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 0 0
1 1 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 0
1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 0 0
0 1 0 1 1 0 1 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 0 1 1
0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0
0 1 0 1 1 0 1 1 1 0 1 0 0 0 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 0 0 1 0 0 1 0
1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1
0 0 0 0 0 1 0 1 1 0 0 1 1 1 0 1 0 0 0 1 0 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 0 0 1 1
1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1
0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 1 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 1 0 0 0 1
0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 0 1 0 1 1 1 0 1 0 1 1 1 1 0 1 1
0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 1 0 0 1 1 0 0 1 1 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1
0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1 1 1 1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0
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0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 0 0 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0
1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 0 0 1 1 0 0 1 0 1
0 1 1 1 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 1 0 1 0 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0
0 0 1 1 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 1 0 1 1 0 1 1 1 0 1 0 1 0 1 0
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1 0 1 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 1 0 0 0
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1 1 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 0 1 1 0
0 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 0 1 0 0 1 1 0 1
0 0 0 0 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 1 0
0 1 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1
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0 1 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 0
1 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1
0 1 1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1 0 0 1 0 1
0 0 0 1 0 0 1 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 0 0
1 1 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 0
1 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 1 0 0 1 0 1 1 0 0 1 1 1 1 1 0 0 1 1 0 1
1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 1 1 1 1
1 0 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 1 1 1 0 0 1 0 1 0 0 1 0
1 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1
0 0 0 0 1 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0
0 1 1 0 1 1 0 1 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0
0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 0 1 1 0 0 1 1 1 0 0 0 1 0 1 1 1 1 1 0 0 0 1 0
1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0
0 0 1 1 1 0 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 1 1 1 1 1 1 0 1
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