On the midnight shift, the number of patients with head trauma in an emergency room has the probability c 1 2 .29 4 P(x) Total 1.00 .01 .40 .18 .10 .02 (a) Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard c places.)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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**Probability Distribution Analysis**

**Scenario:**
On the midnight shift, the number of patients with head trauma in an emergency room follows the probability distribution outlined below:

| x   | 0   | 1   | 2   | 3   | 4   | 5   | Total |
|-----|-----|-----|-----|-----|-----|-----|-------|
| P(x)| 0.01| 0.40| 0.29| 0.18| 0.10| 0.02| 1.00  |

**Tasks:**

**(a) Calculate the Mean and Standard Deviation**

1. **Mean**: Enter the calculated mean of the probability distribution, rounded to two decimal places.
2. **Standard Deviation**: Enter the standard deviation of the distribution, rounded to two decimal places.

**(b) Describe the Shape of this Distribution**

Choose the option that correctly describes the shape of the probability distribution:

- Skewed to the right
- Skewed to the left
- Symmetric

**Instructions:**
Round your mean value to 2 decimal places and standard deviation to the same precision for accuracy in your calculations. Consider the distribution's skewness when describing its shape.
Transcribed Image Text:**Probability Distribution Analysis** **Scenario:** On the midnight shift, the number of patients with head trauma in an emergency room follows the probability distribution outlined below: | x | 0 | 1 | 2 | 3 | 4 | 5 | Total | |-----|-----|-----|-----|-----|-----|-----|-------| | P(x)| 0.01| 0.40| 0.29| 0.18| 0.10| 0.02| 1.00 | **Tasks:** **(a) Calculate the Mean and Standard Deviation** 1. **Mean**: Enter the calculated mean of the probability distribution, rounded to two decimal places. 2. **Standard Deviation**: Enter the standard deviation of the distribution, rounded to two decimal places. **(b) Describe the Shape of this Distribution** Choose the option that correctly describes the shape of the probability distribution: - Skewed to the right - Skewed to the left - Symmetric **Instructions:** Round your mean value to 2 decimal places and standard deviation to the same precision for accuracy in your calculations. Consider the distribution's skewness when describing its shape.
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