Use the table to answer the question. Customers: 2,4,6,8,10,12. Frequency: 10,9,6,15,13,8. Jade tossed a cube with faces numbered with 2,4,6,8,10,12. The results are recorded in the table. What is the largest discrepancy between the experimental and the expected probability of the experiment? The answer needs to be in a percent form to the nearest whole number.
To find the largest discrepancy between the experimental and expected probabilities, we first need to calculate the expected probabilities.
Total frequency = 10 + 9 + 6 + 15 + 13 + 8 = 61
Expected probability of each number:
2: 10/61 = 0.164
4: 9/61 = 0.148
6: 6/61 = 0.098
8: 15/61 = 0.246
10: 13/61 = 0.213
12: 8/61 = 0.131
Now, we calculate the experimental probabilities based on the data in the table:
2: 10/61 = 0.164
4: 9/61 = 0.148
6: 6/61 = 0.098
8: 15/61 = 0.246
10: 13/61 = 0.213
12: 8/61 = 0.131
Now, we calculate the discrepancies for each number:
2: |0.164 - 0.164| = 0
4: |0.148 - 0.148| = 0
6: |0.098 - 0.098| = 0
8: |0.246 - 0.246| = 0
10: |0.213 - 0.213| = 0
12: |0.131 - 0.131| = 0
The largest discrepancy is 0, and when converted to percent form to the nearest whole number, it is 0%.