Use the probability distribution to complete parts (a) and (b) below. The number of school-related extracurricular activities per student Activities 1 2 3 4. 0.059 0.121 0.162 0.178 0.216 0.128 0.084 0.052 5 6 7 0 Probability (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 3.4. (Round to one decimal place as needed.) The variance is. (Round to one decimal place as needed)

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### Probability Distribution of Extracurricular Activities

Use the probability distribution to complete parts (a) and (b) below.

#### Table: Number of School-Related Extracurricular Activities Per Student

| **Activities**   | 0     | 1     | 2     | 3     | 4     | 5     | 6     | 7     |
|------------------|-------|-------|-------|-------|-------|-------|-------|-------|
| **Probability**  | 0.059 | 0.121 | 0.162 | 0.178 | 0.216 | 0.128 | 0.084 | 0.052 |

### Tasks

(a) Find the mean, variance, and standard deviation of the probability distribution.

- **Mean**
  - The mean is **3.4**.
  - (Round to one decimal place as needed.)

- **Variance**
  - The variance is _____.
  - (Round to one decimal place as needed.)

Instructions: Enter your answer in the answer box and then click Check Answer. Two parts remaining.
Transcribed Image Text:### Probability Distribution of Extracurricular Activities Use the probability distribution to complete parts (a) and (b) below. #### Table: Number of School-Related Extracurricular Activities Per Student | **Activities** | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |------------------|-------|-------|-------|-------|-------|-------|-------|-------| | **Probability** | 0.059 | 0.121 | 0.162 | 0.178 | 0.216 | 0.128 | 0.084 | 0.052 | ### Tasks (a) Find the mean, variance, and standard deviation of the probability distribution. - **Mean** - The mean is **3.4**. - (Round to one decimal place as needed.) - **Variance** - The variance is _____. - (Round to one decimal place as needed.) Instructions: Enter your answer in the answer box and then click Check Answer. Two parts remaining.
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