Use the table to answer the question.
Plant Types A B C D E
Number of Seedlings 100 140 80 60 40
A farmer conducted an inventory on his two square kilometers of rainforest; the results are in the table. He plans on randomly selecting a seedling to experiment on when he goes back to the forest. What is the probability that he will randomly pick a type B plant? Write your answer in the simplest form of a fraction.
There are a total of 100 + 140 + 80 + 60 + 40 = 420 seedlings.
The probability of picking a type B plant is the number of type B seedlings divided by the total number of seedlings, which is 140 / 420 = 1 / 3.
Therefore, the probability that the farmer will randomly pick a type B plant is 1/3.
Company X tested its light bulbs to see how long they would last. On a production line, 2,500 bulbs were taken and tested. The department in charge reported that out of 2,500 bulbs, there were 2,200 bulbs that burnt out after more than 1,500 hours of use. Lucy purchased a light bulb from Company X. What is the likelihood that it will burn for more than 1,500 hours? Write your answer in decimal form.(1 point)
Out of 2,500 bulbs tested, 2,200 bulbs burnt out after more than 1,500 hours of use.
The likelihood that Lucy's light bulb from Company X will burn for more than 1,500 hours is given by the ratio of the number of bulbs that burnt for more than 1,500 hours to the total number of bulbs tested.
Likelihood = Number of bulbs burning for more than 1,500 hours / Total number of bulbs
Likelihood = 2,200 / 2,500
Likelihood = 0.88
Therefore, the likelihood that Lucy's light bulb will burn for more than 1,500 hours is 0.88.
The letter tiles C , A , R , E , and S are placed in a box. Without looking, Jorelle picks a letter tile from the box and records the result before placing it back. He repeats the procedure 100 times and observes the following results:
Outcomes C A R E S
Frequency 20 25 30 10 15
Based on the observed frequency, what is the probability that Jorelle will pick a letter R ? The answer should be in percent form.
The total number of trials Jorelle conducted is 100.
The frequency of picking the letter R is 30.
The probability of picking the letter R is the frequency of R divided by the total number of trials:
Probability = Frequency of R / Total number of trials
Probability = 30 / 100
Probability = 0.3
To convert the probability to a percentage, multiply by 100:
Probability as a percentage = 0.3 * 100
Probability as a percentage = 30%
Therefore, based on the observed frequency, the probability that Jorelle will pick the letter R is 30%.
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.
To find the largest discrepancy between the experimental and expected probability, we need to calculate the expected probability based on a fair dice (since each face has an equal chance of being rolled), compare it to the experimental probability, and identify the largest difference.
1. Calculate the total frequency of outcomes:
Total Frequency = 10 + 9 + 6 + 15 + 13 + 8 = 61 trials
2. Calculate the expected probability for each outcome:
Expected Probability = 1/6 = 16.67%
3. Calculate the expected frequency for each outcome:
Expected Frequency = Total Frequency * Expected Probability
Expected Frequency for each outcome:
2: 61 * 1/6 = 10.17
4: 61 * 1/6 = 10.17
6: 61 * 1/6 = 10.17
8: 61 * 1/6 = 10.17
10: 61 * 1/6 = 10.17
12: 61 * 1/6 = 10.17
4. Calculate the discrepancy between the experimental and expected frequency for each outcome:
Discrepancy = |Experimental Frequency - Expected Frequency|
Finding the discrepancies for each outcome:
2: |10 - 10.17| = 0.17
4: |9 - 10.17| = 1.17
6: |6 - 10.17| = 4.17
8: |15 - 10.17| = 4.83
10: |13 - 10.17| = 2.83
12: |8 - 10.17| = 2.17
5. Identify the largest discrepancy:
The largest discrepancy is 4.83, which corresponds to the outcome of 8.
Therefore, the largest discrepancy between the experimental and expected probability of this experiment is 4.83% when the outcome 8 is considered.
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.
To find the smallest discrepancy between the experimental and expected probability, we need to calculate the expected probability based on a fair die (since each face has an equal chance of being rolled), compare it to the experimental probability, and identify the smallest difference.
1. Calculate the total frequency of outcomes:
Total Frequency = 10 + 9 + 6 + 15 + 13 + 8 = 61 trials
2. Calculate the expected probability for each outcome:
Expected Probability = 1/6 = 16.67%
3. Calculate the expected frequency for each outcome:
Expected Frequency = Total Frequency * Expected Probability
Expected Frequency for each outcome:
2: 61 * 1/6 = 10.17
4: 61 * 1/6 = 10.17
6: 61 * 1/6 = 10.17
8: 61 * 1/6 = 10.17
10: 61 * 1/6 = 10.17
12: 61 * 1/6 = 10.17
4. Calculate the discrepancy between the experimental and expected frequency for each outcome:
Discrepancy = |Experimental Frequency - Expected Frequency|
Finding the discrepancies for each outcome:
2: |10 - 10.17| = 0.17
4: |9 - 10.17| = 1.17
6: |6 - 10.17| = 4.17
8: |15 - 10.17| = 4.83
10: |13 - 10.17| = 2.83
12: |8 - 10.17| = 2.17
5. Identify the smallest discrepancy:
The smallest discrepancy is 0.17, which corresponds to the outcome of 2.
Therefore, the smallest discrepancy between the experimental and expected probability of this experiment is 0.17, when the outcome is 2.