If the z-value for a given value x of the random variable X is z = 2.326, and the distribution of X is normal with a mean of 50 and a standard deviation of 5, to what x-value does this z-value correspond?
A)11.63.
B)61.63.
C)63.16.
D)16.31.

Question

Quizplus · Accepted Answer

We can use the formula for standardizing a normal random variable:

z = (x - μ) / σ

Rearranging the formula to solve for x, we get:

x = zσ + μ

Substituting the given values, we get:

x = (2.326)(5) + 50 = 61.63

Therefore, the z-value of 2.326 corresponds to an x-value of 61.63.

If the Z-Value for a Given Value X of the Random