Suppose that a random variable, X, follows a Normal distribution. Specifically, X~N(10, 4).
What is the value for the standard deviation
Being from the "old school," I don't understand your notation, " X~N(10, 4)." Can you elaborate?
In the Normal distribution notation N(mean, standard deviation), the standard deviation represents the spread or variability of the data around the mean.
For the given random variable X~N(10, 4), the standard deviation is 4.
To find the standard deviation of a normal distribution, you can refer to the formula:
Standard deviation = square root of the variance
In the case of X ~ N(10, 4), the variance is given as 4. Therefore, to find the standard deviation, we simply take the square root of 4.
Standard deviation = square root of 4 = 2
So, the value for the standard deviation in this case is 2.