If X~N(7,2)
What is the z score for x=2
To find the z-score for x = 2, we need to use the formula:
z = (x - μ) / σ
Where:
x = the value we want to find the z-score for
μ = the mean of the normal distribution
σ = the standard deviation of the normal distribution
Given:
μ = 7
σ = 2
x = 2
Substituting the given values into the formula:
z = (2 - 7) / 2
z = -5 / 2
z = -2.5
Therefore, the z-score for x = 2 is -2.5.