The following table is a probability distribution for the random variable x. X P(x) 5.0 25% 10.0 50% 15.0 25% What is the expected value of x, E(x), and the standard deviation of x, o? O E(X)=6.00 and o=4.49 O E(X)=10.00 and o=12.50 O E(X)=3.00 and o=3.54 O E(x)=3.54 and σ=10.00 ⒸE(x)=10.00 and o=3.54 Clear my choice

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**Probability Distribution and Statistical Measures**

The following table represents a probability distribution for the random variable \(x\):

| \(x\)  | \(P(x)\) |
|-------|---------|
| 5.0   | 25%     |
| 10.0  | 50%     |
| 15.0  | 25%     |

**Question:**
What is the expected value of \(x\), \(E(x)\), and the standard deviation of \(x\), \(\sigma\)?

- **Options:**
  - \(E(x) = 6.00 \) and \(\sigma = 4.49\)
  - \(E(x) = 10.00\) and \(\sigma = 12.50\)
  - \(E(x) = 3.00\) and \(\sigma = 3.54\)
  - \(E(x) = 3.54\) and \(\sigma = 10.00\)
  - \(E(x) = 10.00\) and \(\sigma = 3.54\) *(Correct Answer)*

[ ] Clear my choice
Transcribed Image Text:**Probability Distribution and Statistical Measures** The following table represents a probability distribution for the random variable \(x\): | \(x\) | \(P(x)\) | |-------|---------| | 5.0 | 25% | | 10.0 | 50% | | 15.0 | 25% | **Question:** What is the expected value of \(x\), \(E(x)\), and the standard deviation of \(x\), \(\sigma\)? - **Options:** - \(E(x) = 6.00 \) and \(\sigma = 4.49\) - \(E(x) = 10.00\) and \(\sigma = 12.50\) - \(E(x) = 3.00\) and \(\sigma = 3.54\) - \(E(x) = 3.54\) and \(\sigma = 10.00\) - \(E(x) = 10.00\) and \(\sigma = 3.54\) *(Correct Answer)* [ ] Clear my choice
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