## Math Problem Statement

Solve the problem. In a certain town, 57% of voters favor a given ballot measure. For groups of 35 voters, find the variance for the number who favor the measure. 2.9

8.6

20

73.6

Question 8 10 pts Provide an appropriate response. Round to the nearest hundredth. Find the standard deviation for the given probability distribution. P(x) 0 1 2 0.19 0.20 0.10 0.29 4 0.22 0 = 2.11 0 = 1.52 0 = 1.45 о = 2.59

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Probability

Statistics

Binomial Distribution

### Formulas

Variance of a binomial distribution: Variance = n × p × q

Standard deviation: σ = √(variance)

Mean: μ = Σ(x × P(x))

Variance: Σ((x - μ)² × P(x))

### Theorems

Binomial Distribution Properties

### Suitable Grade Level

Grades 10-12

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