Question
Asked Oct 21, 2019
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Below is a distribution of race in the United States from 2014.

 

  1. If we were to randomly choose 150 people for a survey, What is the probability that we would randomly choose a sample of 150 people and more than 22 of them were black (to 3 decimal places)?
United States
Percent
White
60.5%
Black
12.5%
Hispanic
18.3%
Asian
5.7%
Other
3%
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United States Percent White 60.5% Black 12.5% Hispanic 18.3% Asian 5.7% Other 3%

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Expert Answer

Step 1

According to the provided information, the sample size is n = 150 and probability that a randomly chosen person is black, p=0.125.

Consider X is a random variable which represents the number of black people. X will follow binomial di...

Since, X N(np,npq)
np 150x0.125
18.75
npq 150x 0.125x0.875
16.40
So
X N(18.75,4.05)
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Since, X N(np,npq) np 150x0.125 18.75 npq 150x 0.125x0.875 16.40 So X N(18.75,4.05)

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