On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. 15 Total P(x) 37 28 16 69 02 1.00 08

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**Homework: Chapter 6 (Sections 6.1 through 6.4)**

3. On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below.

| x   | P(x) |
|-----|------|
| 0   | .08  |
| 1   | .37  |
| 2   | .28  |
| 3   | .16  |
| 4   | .09  |
| 5   | .02  |
| **Total** | **1.00** |

(a) **Calculate the mean and standard deviation.**  
   *(Round your mean value to 2 decimal places and standard deviation to 3 decimal places.)*

- Mean: [Input box]
- Standard deviation: [Input box]

(b) **Describe the shape of this distribution.**

- [ ] Skewed to the right
- [ ] Skewed to the left
- [ ] Symmetric

**Diagram Description:**  
The table represents a probability distribution for patients with head trauma during a specific shift at an emergency room. The distribution includes outcomes from 0 to 5 patients, each with an associated probability, summing up to a total probability of 1.00.

**Instructions:**  
- Calculate and input the mean and standard deviation using the provided probabilities.
- Determine and select the shape of the distribution from the given options.
Transcribed Image Text:**Homework: Chapter 6 (Sections 6.1 through 6.4)** 3. On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. | x | P(x) | |-----|------| | 0 | .08 | | 1 | .37 | | 2 | .28 | | 3 | .16 | | 4 | .09 | | 5 | .02 | | **Total** | **1.00** | (a) **Calculate the mean and standard deviation.** *(Round your mean value to 2 decimal places and standard deviation to 3 decimal places.)* - Mean: [Input box] - Standard deviation: [Input box] (b) **Describe the shape of this distribution.** - [ ] Skewed to the right - [ ] Skewed to the left - [ ] Symmetric **Diagram Description:** The table represents a probability distribution for patients with head trauma during a specific shift at an emergency room. The distribution includes outcomes from 0 to 5 patients, each with an associated probability, summing up to a total probability of 1.00. **Instructions:** - Calculate and input the mean and standard deviation using the provided probabilities. - Determine and select the shape of the distribution from the given options.
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