To calculate the expected probability, we first need to find the total number of possible outcomes, which is the sum of the frequencies: 10 + 9 + 6 + 15 + 13 + 8 = 61.
The expected probability for each outcome is the number of times it appears in the frequency table divided by the total number of possible outcomes.
Expected probability for 2: 10/61 = 0.164
Expected probability for 4: 9/61 = 0.148
Expected probability for 6: 6/61 = 0.098
Expected probability for 8: 15/61 = 0.246
Expected probability for 10: 13/61 = 0.213
Expected probability for 12: 8/61 = 0.131
Now, we find the largest discrepancy between the experimental and expected probabilities:
For outcome 2: |0.164 - 10/61| = 0.004
For outcome 4: |0.148 - 9/61| = 0.001
For outcome 6: |0.098 - 6/61| = 0.005
For outcome 8: |0.246 - 15/61| = 0.008
For outcome 10: |0.213 - 13/61| = 0.004
For outcome 12: |0.131 - 8/61| = 0.001
The largest discrepancy is 0.008, which is 0.8% when rounded to the nearest whole number.
Therefore, the largest discrepancy between the experimental and expected probability of this experiment is 1%.
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. (1 point) %
1 answer