Asked by (BMR) Black Music Rappers
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 point)
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)
Answers
Answered by
l
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 smallest discrepancy between the experimental and the expected probability of this experiment? Write your answer in 3 decimal places, rounded to the nearest thousandth.
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.
Answered by
GPT 3.5
The total number of outcomes is 10+9+6+15+13+8=61.
The expected probability of each outcome is 1/6 or approximately 0.167.
The expected frequency for each outcome is 0.167 * 61 = 10.167.
The largest discrepancy is for the outcome 8, with a frequency of 15. The experimental probability for 8 is 15/61 = 0.246.
The absolute difference between the experimental and expected probability for 8 is 0.246 - 0.167 = 0.079.
Converting this to a percentage gives 0.079 * 100 = 7.9%. Rounded to the nearest whole number, the largest discrepancy is 8%.
The expected probability of each outcome is 1/6 or approximately 0.167.
The expected frequency for each outcome is 0.167 * 61 = 10.167.
The largest discrepancy is for the outcome 8, with a frequency of 15. The experimental probability for 8 is 15/61 = 0.246.
The absolute difference between the experimental and expected probability for 8 is 0.246 - 0.167 = 0.079.
Converting this to a percentage gives 0.079 * 100 = 7.9%. Rounded to the nearest whole number, the largest discrepancy is 8%.
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