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Chapter 4: Q. 42 (page 286)

Use the following information to answer the next eight exercises: The Higher Education Research Institute at UCLA collected data from 203,967incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% 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 eight 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)?

Short Answer

Expert verified

The standard deviation (s) is1.2795.

Step by step solution

01

Given information

n=8p=1-0.713=0.287

02

Explanation

Standard deviation is calculated as:

σ=npq=np1-p

Heren is the number of trials,

p is the probability of success,

q1-pis the probability of failure.

σ=8*0.713*0.287=1.2795

As a result, the distribution's standard deviation is1.2795

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