Question: What's the joint frequency a 9th grader liked math?
Answer: 3%
Step-by-step explanation:
Check out the attached image below. I've filled in the table with the missing values. The upper left corner is 3 because 7+3 = 10 in the first column. You'll fill in the other values in a similar fashion. Once we filled out the table, we can answer all of these questions. There are 3 ninth graders who like math out of 100 people total. So the final answer is 3/100 = 0.03 = 3%.
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Question: What's the marginal relative frequency of 9th graders surveyed?
Answer: 10%
Explanation:
Again, refer to the table to find that there are 10 ninth graders out of 100 total. So 10/100 = 0.10 = 10% is the answer.
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Question: Given a student was in 10th grade, what's the likelihood the student preferred English?
Answer: 46%
Step-by-step explanation:
We only focus on the 10th graders because of the "given". There are 23 people in this row who like English out of 50 total sophomores. So 23/50 = 0.46 = 46% of the tenth graders liked English.
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Question: Given the subject was science, what's the likelihood the student was a freshman?
Answer: 72.5%
Step-by-step explanation:
Focus on the science column only. There are 29 freshmen out of 40 students total. We get the percentage of 29/40 = 0.725 = 72.5%