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Problem 21 Easy Difficulty

American and Foreign-Born Citizens In 2014 the
percentage of the U.S. population who was foreign-born
was 13.1. Choose 60 U.S. residents at random. How
many would you expect to be American-born? Find the
mean, variance, and standard deviation for the number
who are foreign-born.

Answer

American born would be 52.14 or about 52 people.
Foreign born mean is 7.86 or about 8 people
variance is 6.83 or about 7 people
standard deviation is 2.61 people

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Intro Stats / AP Statistics

Elementary Statistics a Step by Step Approach

Chapter 5

Discrete Probability Distributions

Section 3

The Binomial Distribution

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Video Transcript

a survey said that the number the percentage of foreign born people in the United States was 13.1%. If we chose 60 people at random, how many would you expect to be American born? So if 13% are foreign born, then we can do one minus 10.131 and we get that. 86.9% are American born. So if six people 60 people are chosen at random, then we can expect that 60 times 600.869 which is 52.14 would be American born. So about 52 people. Let's find the mean standard deviation in variants of those that are foreign born. We need to use these formulas. Help us. I remember that we surveyed 60 people. The probability that they would be foreign born is 13.1% or 0.131 so the mean would be 60 times 600.131 which is 7.86 Or we can keep it at 7.86 people. We might want around it to about eight people. The variance would be 60 times 0.131 times 0.869 which would be 6.83 people. You might want around that to about seven people, and the standard deviation would be the square root of 6.83 which is about 2.61 people o R. Three people.

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