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Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution is Group of answer choices 4 16 2 20 Previous Next

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MrRoyal

The standard deviation of this binomial distribution is 4

How to determine the standard deviation?

The given parameters are:

  • Proportion, p = 20%
  • Sample size, n = 100

The standard deviation is calculated using:

[tex]\sigma = \sqrt{np(1 - p)[/tex]

So, we have:

[tex]\sigma = \sqrt{100 * 20\% * (1 - 20\%)[/tex]

Evaluate

[tex]\sigma = 4[/tex]

Hence, the standard deviation of this binomial distribution is 4

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