Question
John surveyed his 12 friends at his school about their favorite colors. Out of 12 students, 5 said that their favorite color was blue.
If John surveys 12 more students, how many of them should be expected to have blue as their favorite color?
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If John surveys 12 more students, how many of them should be expected to have blue as their favorite color?
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Answers
GPT-4o mini
If 5 out of 12 students surveyed by John indicated that their favorite color was blue, we can calculate the proportion of students who like blue.
The proportion of students who like blue is:
\[
\frac{5}{12}
\]
If John surveys 12 more students, we can use this proportion to find the expected number of students who would have blue as their favorite color:
Expected number of students who like blue = \(\frac{5}{12} \times 12 = 5\).
Therefore, if John surveys 12 more students, he should expect **5** of them to have blue as their favorite color.
The answer is **5**.
The proportion of students who like blue is:
\[
\frac{5}{12}
\]
If John surveys 12 more students, we can use this proportion to find the expected number of students who would have blue as their favorite color:
Expected number of students who like blue = \(\frac{5}{12} \times 12 = 5\).
Therefore, if John surveys 12 more students, he should expect **5** of them to have blue as their favorite color.
The answer is **5**.