Problem

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

Solution

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 \( \sigma = \sqrt{25} \).

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Source: https://solvelyapp.com/problems/oh5ID3GNRx/

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