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Part 1
The table shows differences in political ideology, by education, for a random sample of voters. Find the probability that a randomly selected person from this group is moderate, given they have only a high school education.
Liberal
Moderate
Conservative
High School only
11
15
17
College
11
16
30
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Part 1
The probability that a randomly selected person from this group is moderate, given they have only a high school education, is
enter your response here.
(Type an integer or a simplified fraction.)
The probability that a randomly selected person from this group is moderate, given they have only a high school education, can be calculated as follows:
P(Moderate | High School) = P(Moderate and High School) / P(High School)
From the table, we can see that there are 15 people who are moderate and have only a high school education. There are a total of 43 people who have only a high school education.
Therefore, P(Moderate | High School) = 15/43 ≈ 0.3488
So, the probability that a randomly selected person from this group is moderate, given they have only a high school education, is approximately 0.3488.