Given that a random variable X follows a normal distribution with a mean ( mu = 15 ) and variance ( sigma^2 = 25 ), find the standard deviation.

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Step:1 ：The standard deviation of a normal distribution is calculated as the square root of the variance, which is represented as ( sigma ).Step:2 ：Given the variance ( sigma^2 = 25 ), we can calculate the standard deviation as ( sigma = sqrt{sigma^2} ).Step:3 ：Substituting the given variance into the equation, we get ( sigma = sqrt{25} ).

Answer

Step: 1 ：The standard deviation of a normal distribution is calculated as the square root of the variance, which is represented as ( sigma ).Step: 2 ：Given the variance ( sigma^2 = 25 ), we can calculate the standard deviation as ( sigma = sqrt{sigma^2} ).Step: 3 ：Substituting the given variance into the equation, we get ( sigma = sqrt{25} ).

Given that a random variable X follows a normal distribution with a mean \( \mu = 15 \) and variance \( \sigma^2 = 25 \), find the standard deviation.

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