To calculate the expected probability, we add up all the frequencies and divide each frequency by the total number of trials, which is 10+9+6+15+13+8 = 61.
Expected probability of getting a 2: 10/61
Expected probability of getting a 4: 9/61
Expected probability of getting a 6: 6/61
Expected probability of getting an 8: 15/61
Expected probability of getting a 10: 13/61
Expected probability of getting a 12: 8/61
Now we compare the experimental and expected probabilities for each outcome:
Experimental probability of getting a 2: 10/61
Experimental probability of getting a 4: 9/61
Experimental probability of getting a 6: 6/61
Experimental probability of getting an 8: 15/61
Experimental probability of getting a 10: 13/61
Experimental probability of getting a 12: 8/61
Now we calculate the discrepancies for each outcome:
Discrepancy for 2: |10/61 - 10/61| = 0
Discrepancy for 4: |9/61 - 9/61| = 0
Discrepancy for 6: |6/61 - 6/61| = 0
Discrepancy for 8: |15/61 - 15/61| = 0
Discrepancy for 10: |13/61 - 13/61| = 0
Discrepancy for 12: |8/61 - 8/61| = 0
The largest discrepancy is 0. Since we need to give the answer in percent form, the largest discrepancy is 0%.
Use the table to answer the question.
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 answer