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In a large population of college students, 20% of the students have experienced feelings of math anxiety. If you take a random sample of 10 students from this population, the standard deviation of the number of students in the sample who have experienced math anxiety is:

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Willchemistry

Hey there!:

The number of students in the sample who have experienced math anxiety is a binomial distribution  

Bin (n , p) where n = 10 and p = 0.2  

The mean of a binomial distribution is np = 2  

The variance is np (1- p) = 1.6 so the standard deviation is √ 1.6 = 1.265  

mean=2; standard deviation= 1.265

Hope this helps!

fichoh

The standard deviation of the of the number of students with anxiety in the sample which is the square root of the variance is 1.265

Probability of those who have experienced anxiety :

  • P(anxiety) ; P = 20% = 0.2

  • Number of samples, n = 10

The standard deviation can be defined thus :

  • Standard deviation = √Variance
  • Variance = [np(1 - p)]
  • Variance = [(10 × 0.2 × (1 - 0.2)] = 1.6
  • Standard deviation = √1.6
  • Standard deviation = 1.265

Therefore, the standard deviation of the number of sampled students with anxiety is 1.265

Learn more : https://brainly.com/question/18153040

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