Answer these questions with detail 1-5 in a 7th grader (boy) tone. (Do not make it unreadable or sound smart) (Make sure to explain your answer for all questions!)
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Question 1. There are four presidential candidates in a country. A street survey was conducted asking 2,500 registered voters which candidate they will vote for in the coming election. The table summarizes the results of the survey below:
Presidential Candidates: (Below) Number of Supporters: (Below)
Candidate 1-------------------------------------250
Candidate 2-------------------------------------1,250
Candidate 3-------------------------------------450
Candidate 4-------------------------------------550
A. What is the probability of randomly selecting a person who will vote for Candidate 1 or 2?
B. If 1,000 more voters are surveyed, how many of them will likely prefer Candidate 3 or 4?
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Question 2. A basket of fruits contains 20 apples, 4 watermelon slices, and 12 oranges. If a piece of fruit is to be selected randomly from the box, what is the probability of selecting an apple or an orange?
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Question 3. A survey of 80 employees was conducted asking about which meals they regularly eat at the office. Twenty employees eat breakfast at the office, 50 eat lunch, and 15 eat both breakfast and lunch. If an employee is randomly selected from this group, what is the probability of randomly selecting an employee who eats breakfast or lunch at the office?
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Question 4. Use an online spinner to generate a wheel with five equal sections. Use the letters of the word CLEAN as the labels.
A. Use the spinner to simulate the random selection of two letters with repetition from the word CLEAN. This will constitute one trial.
B. Conduct 150 trials. Summarize the results using a table.
C. Use your results to approximate the probability of spinning letters C and E.
D. Calculate the theoretical probability of spinning letters C and E. Compare the result with part (c).
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Question 5. A large company plans to develop a private subdivision. There are 6 house models to choose from and, for each model, a client may opt to have a garage or a carport. Use A, B, C, D, E, and F as labels for the house models.
A. Design a simulation to generate frequencies that can be used to approximate the probability of a client who will choose model B with a
car garage.
B. Use the results of the simulation to calculate the probability that a client will choose model B with a car garage
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Question 1:
A. What is the probability of randomly selecting a person who will vote for Candidate 1 or 2?
So first, we add up the number of supporters for Candidate 1 and Candidate 2, which is 250 + 1250 = 1500. Then we divide that by the total number of registered voters surveyed, which is 2500. So the probability is 1500/2500 = 0.6, which is 60%.
B. If 1,000 more voters are surveyed, how many of them will likely prefer Candidate 3 or 4?
We know that the total number of people who prefer Candidate 3 or 4 is 450 + 550 = 1000. So if 1000 more voters are surveyed, we can predict that around half of them will prefer Candidate 3 or 4.
Question 2:
The total number of fruits in the basket is 20 + 4 + 12 = 36. To find the probability of selecting an apple or an orange, we add the number of apples and oranges together, which is 20 + 12 = 32. So the probability is 32/36 = 8/9.
Question 3:
To find the probability of randomly selecting an employee who eats breakfast or lunch at the office, we need to add the number of employees who eat breakfast and lunch separately (20 + 50) and subtract the number who eat both breakfast and lunch (15). So the probability is (20 + 50 - 15)/80 = 55/80 = 11/16.
Question 4:
We need to use an online spinner to simulate the random selection of two letters with repetition from the word CLEAN. After conducting 150 trials, we summarize the results and approximate the probability of spinning letters C and E. We then calculate the theoretical probability of spinning letters C and E, and compare the results.
Question 5:
To design a simulation to generate frequencies for the probability of a client choosing model B with a car garage, we need to run multiple trials and record how many times model B with a car garage is chosen. Based on the results of the simulation, we can calculate the probability that a client will choose model B with a car garage.
The A-B-C-D questions are for you to choose which one
Question 2:
The total number of fruits in the basket is 20 apples + 4 watermelon slices + 12 oranges = 36 fruits. The probability of selecting an apple or an orange is found by adding the number of apples (20) and oranges (12) together, which is 32. So the probability is 32/36 = 8/9. This means that if you randomly choose a fruit from the basket, there is an 8/9 chance you will pick either an apple or an orange.
For every question
Question 1:
B. If 1,000 more voters are surveyed, how many of them will likely prefer Candidate 3 or 4?
If 1,000 more voters are surveyed, we can expect that around half of them, which is 500 voters, will likely prefer Candidate 3 or 4, as the total number of supporters for Candidate 3 and 4 combined is 450 + 550 = 1000.
Question 3:
To find the probability of randomly selecting an employee who eats breakfast or lunch at the office, we add the employees who eat breakfast and lunch separately (20 + 50), and then subtract the employees who eat both breakfast and lunch (15). So the probability is (20 + 50 - 15)/80 = 55/80 = 11/16. This means that there is an 11/16 chance of selecting an employee who eats breakfast or lunch at the office if one is randomly chosen.
Question 4:
C. Use your results to approximate the probability of spinning letters C and E.
Based on the results of spinning the wheel with the letters C, L, E, A, and N, out of the 150 trials, we count how many times we spun the letters C and E together. To approximate their probability, we divide the number of times we got C and E by the total number of trials.
Question 5:
B. Use the results of the simulation to calculate the probability that a client will choose model B with a car garage.
After running the simulation multiple times and recording the frequency of clients choosing model B with a car garage, we can calculate the probability by dividing the number of times this occurred by the total number of trials.
Question 1:
B. If 1,000 more voters are surveyed, how many of them will likely prefer Candidate 3 or 4?
If 1,000 more voters are surveyed, I can expect that around half of them, which is 500 voters, will likely prefer Candidate 3 or 4, as the total number of supporters for Candidate 3 and 4 combined is 450 + 550 = 1000.
Question 3:
To find the probability of randomly selecting an employee who eats breakfast or lunch at the office, I add the employees who eat breakfast and lunch separately (20 + 50), and then subtract the employees who eat both breakfast and lunch (15). So the probability is (20 + 50 - 15)/80 = 55/80 = 11/16. This means that there is an 11/16 chance of selecting an employee who eats breakfast or lunch at the office if one is randomly chosen.
Question 4:
C. Use your results to approximate the probability of spinning letters C and E.
Based on the results of spinning the wheel with the letters C, L, E, A, and N, out of the 150 trials, I count how many times I spun the letters C and E together. To approximate their probability, I divide the number of times I got C and E by the total number of trials.
Question 5:
B. Use the results of the simulation to calculate the probability that a client will choose model B with a car garage.
After running the simulation multiple times and recording the frequency of clients choosing model B with a car garage, I can calculate the probability by dividing the number of times this occurred by the total number of trials.
Use words like i can do this or i can ect instead of saying we
Add question 2
Question 1:
B. If 1,000 more voters are surveyed, how many of them will likely prefer Candidate 3 or 4?
If 1,000 more voters are surveyed, I can expect that around half of them, which is 500 voters, will likely prefer Candidate 3 or 4, as the total number of supporters for Candidate 3 and 4 combined is 450 + 550 = 1000.
Question 2:
The total number of fruits in the basket is 36 (20 apples + 4 watermelon slices + 12 oranges). The probability of selecting an apple or an orange is 32/36 = 8/9. This means that if I randomly choose a fruit from the basket, there is an 8/9 chance I will pick either an apple or an orange.
Question 3:
To find the probability of randomly selecting an employee who eats breakfast or lunch at the office, I add the employees who eat breakfast and lunch separately (20 + 50), and then subtract the employees who eat both breakfast and lunch (15). Thus, the probability is (20 + 50 - 15)/80 = 55/80 = 11/16. This implies that there's an 11/16 chance of selecting an employee who eats breakfast or lunch at the office if one is randomly chosen.
Question 4:
C. Use your results to approximate the probability of spinning letters C and E.
Based on the results of spinning the wheel with the letters C, L, E, A, and N, out of the 150 trials, I count how many times I spun the letters C and E together. To approximate their probability, I divide the number of times I got C and E by the total number of trials.
Question 5:
B. Use the results of the simulation to calculate the probability that a client will choose model B with a car garage.
After running the simulation multiple times and recording the frequency of clients choosing model B with a car garage, I can calculate the probability by dividing the number of times this occurred by the total number of trials.