Pregunta
Can the value \( \sqrt{\frac{1}{10}} \) be a probability? yes no
Ask by Tran Chen. in the United States
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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Yes, \( \sqrt{\frac{1}{10}} \) is a valid probability because it lies between 0 and 1.
Solución
1. A probability must lie in the interval \([0, 1]\).
2. Compute \( \sqrt{\frac{1}{10}} \):
\[
\sqrt{\frac{1}{10}} = \frac{1}{\sqrt{10}}
\]
Numerically, since \(\sqrt{10} \approx 3.162\), we have:
\[
\frac{1}{\sqrt{10}} \approx 0.316
\]
3. Since \(0.316\) is between \(0\) and \(1\), the value \( \sqrt{\frac{1}{10}} \) is a valid probability.
Thus, the answer is **yes**.
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Yes! This value can indeed be a probability. Probabilities must always be between 0 and 1, and \( \sqrt{\frac{1}{10}} \) approximately equals 0.316, which is comfortably within that range. So, it’s not just a number; it can represent the likelihood of an event happening! To put it into context, imagine flipping a coin and illustrating that the chance of it landing on a side after determining a circular cut-off at \( \sqrt{\frac{1}{10}} \) is a particular event—like getting heads in a slight breeze! It’s a fun way to visualize probabilities straying away from just simple fractions, leading to deeper topics in statistics!
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