The probability distribution model of winning a gambling game is given as: X P(X) $40 1/1/00 $0 5 36 -$10 25 36 Find the standard deviation of prospective winnings. (Round to two decimal points and write in XX.XX format.)

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The probability distribution model of winning a gambling game is given as:

\[
\begin{array}{|c|c|c|c|}
\hline
X & \$40 & \$0 & -\$10 \\
\hline
P(X) & \frac{1}{6} & \frac{5}{36} & \frac{25}{36} \\
\hline
\end{array}
\]

Find the standard deviation of prospective winnings. (Round to two decimal points and write in XX.XX format.)
Transcribed Image Text:The probability distribution model of winning a gambling game is given as: \[ \begin{array}{|c|c|c|c|} \hline X & \$40 & \$0 & -\$10 \\ \hline P(X) & \frac{1}{6} & \frac{5}{36} & \frac{25}{36} \\ \hline \end{array} \] Find the standard deviation of prospective winnings. (Round to two decimal points and write in XX.XX format.)
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Follow-up Question

Find the expected value for prospective winning.

**Probability Distribution Model for Gambling Game Winnings**

The probability distribution model of winning a gambling game is described below:

| **X**      | $40           | $0            | -$10         |
|------------|---------------|---------------|--------------|
| **P(X)**   | \(\frac{1}{6}\) | \(\frac{5}{36}\) | \(\frac{25}{36}\) |

**Task:**
Find the expected value of prospective winnings. (Round to two decimal points and write in 0.XX format.)
Transcribed Image Text:**Probability Distribution Model for Gambling Game Winnings** The probability distribution model of winning a gambling game is described below: | **X** | $40 | $0 | -$10 | |------------|---------------|---------------|--------------| | **P(X)** | \(\frac{1}{6}\) | \(\frac{5}{36}\) | \(\frac{25}{36}\) | **Task:** Find the expected value of prospective winnings. (Round to two decimal points and write in 0.XX format.)
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