Math Problem Statement

The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.6% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick twelve first-time, full-time freshmen from the survey. You are interested in the number that believes that same-sex couples should have the right to legal marital status.

What is the standard deviation (𝜎)? (Round your answer to four decimal places.) 𝜎 =

Solution

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Math Problem Analysis

Mathematical Concepts

Binomial Distribution
Probability
Standard Deviation

Formulas

Standard deviation for binomial distribution: σ = √(n * p * (1 - p))

Theorems

Binomial Theorem

Suitable Grade Level

Grades 10-12