### Probability Distribution of Extracurricular ActivitiesUse 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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Description: ### Probability Distribution of Extracurricular ActivitiesUse the probability distribution to complete parts (a) and (b) below.#### Table: Number of School-Related Extracurricular Activities Per Student| **Activities** | 0 | 1 | 2 | 3

0 0.059 0 0 0 1 0.121 0.121 1 0.121 2 0.162 0.324 4 0.648 3 0.178 0.534 9 1.602 4 0.216 0.864 16 3.456 5 0.128 0.64 25 3.2 6 0.084 0.504 36 3.024 7 0.052 0.364 49 2.548 The mean of the probability distribution is Round to one decimal place.The variance of the probability distribution is Round to one decimal place.The standard deviation of the probability distribution is Round to one decimal place.

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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)

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)

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

### 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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