Variance and Standard Deviation in Probability Distributions

What is the Standard Deviation of a Probability Distribution with Variance 3.6?

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Question

If the variance of a probability distribution was computed to be 3.6, what is the standard deviation?

Answers

Explanations

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A. B. C. D. E.

Explanation

Standard deviation is the square root of the variance.

To determine the standard deviation given the variance, we need to take the square root of the variance.

In this case, the variance is given as 3.6. To find the standard deviation, we take the square root of 3.6:

√3.6 ≈ 1.897

Rounded to two decimal places, the standard deviation is approximately 1.90.

Among the given options, the closest value to 1.90 is 1.9, so the correct answer is B. 1.9.