To calculate the largest discrepancy between the experimental and expected probability, we need to first find the expected probability of each outcome and then compare it to the experimental frequency.
The total number of outcomes is 10 + 9 + 6 + 15 + 13 + 8 = 61.
The expected probability of each outcome is:
2: 1/6 = 16.67%
4: 1/6 = 16.67%
6: 1/6 = 16.67%
8: 1/6 = 16.67%
10: 1/6 = 16.67%
12: 1/6 = 16.67%
Now we can calculate the discrepancy for each outcome:
2: |16.67% - 10/61 * 100%| = 0.01%
4: |16.67% - 9/61 * 100%| = 1.64%
6: |16.67% - 6/61 * 100%| = 4.10%
8: |16.67% - 15/61 * 100%| = 1.83%
10: |16.67% - 13/61 * 100%| = 0.03%
12: |16.67% - 8/61 * 100%| = 8.19%
Therefore, the largest discrepancy is 8.19%, which is between the expected probability for 12 and the experimental frequency.
Outcomes:
2
4
6
8
10
12
Frequency:
10
9
6
15
13
8
Jede tossed a cube with faces numbered with 2, 4, 6, 8, 10, and 12. The results are recorded in the table. What is the largest discrepancy between the experimental and the expected probability of this experiment? The answer needs to be in percent form to the nearest whole number.
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