Use the probability distribution for the random variable x to answer the question. 2 3 p(x) 0.12 0.15 0.15 0.46 0.12 X 0 1 mean 0.2 variance 0.017 standard deviation 0.130 4 Calculate the population mean, variance, and standard deviation. (Round your standard deviation to three decimal places.) X X

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Use the probability distribution for the random variable \( x \) to answer the question.

\[
\begin{array}{c|ccccc}
x & 0 & 1 & 2 & 3 & 4 \\
\hline
p(x) & 0.12 & 0.15 & 0.15 & 0.46 & 0.12 \\
\end{array}
\]

Calculate the population mean, variance, and standard deviation. (Round your standard deviation to three decimal places.)

- Mean: 
  - Entered value: 0.2 ❌
  
- Variance:
  - Entered value: 0.017 ❌
  
- Standard deviation:
  - Entered value: 0.130 ❌
Transcribed Image Text:Use the probability distribution for the random variable \( x \) to answer the question. \[ \begin{array}{c|ccccc} x & 0 & 1 & 2 & 3 & 4 \\ \hline p(x) & 0.12 & 0.15 & 0.15 & 0.46 & 0.12 \\ \end{array} \] Calculate the population mean, variance, and standard deviation. (Round your standard deviation to three decimal places.) - Mean: - Entered value: 0.2 ❌ - Variance: - Entered value: 0.017 ❌ - Standard deviation: - Entered value: 0.130 ❌
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