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 smallest discrepancy between the experimental and the expected probability of this experiment? write your answer in 3 decimal places. rounded to the nearest thousandth
The expected probability for each outcome is 1/6 since there are 6 possible outcomes on the cube.
Calculating the expected probabilities for each outcome:
2: (1/6) * 61 = 10.167
4: (1/6) * 61 = 10.167
6: (1/6) * 61 = 10.167
8: (1/6) * 61 = 10.167
10: (1/6) * 61 = 10.167
12: (1/6) * 61 = 10.167
Calculating the discrepancy between the experimental and expected probabilities for each outcome:
2: |10-10.167| = 0.167
4: |9-10.167| = 1.167
6: |6-10.167| = 4.167
8: |15-10.167| = 4.833
10: |13-10.167| = 2.833
12: |8-10.167| = 2.167
Smallest discrepancy = 0.167
Therefore, the smallest discrepancy between the experimental and expected probability of this experiment is 0.167 rounded to 3 decimal places.