Question

what is the mean of the standard normal distribution? what is the standard deviation of the standard normal distribution?
choose the correct answer below
a. the mean and standard deviation have the values of \\( \mu = 0 \\) and \\( \sigma = 1 \\)
b. the mean and standard deviation have the values of \\( \mu = 0 \\) and \\( \sigma = 0 \\)
c. the mean and standard deviation have the values of \\( \mu = 1 \\) and \\( \sigma = 1 \\)
d. the mean and standard deviation have the values of \\( \mu = 1 \\) and \\( \sigma = 0 \\).

Explanation:

The standard normal distribution is a special case of the normal distribution. By definition, for the standard normal distribution, the mean ($\mu$) is 0 and the standard deviation ($\sigma$) is 1. This is a fundamental property in statistics.

Answer:

A. The mean and standard deviation have the values of $\mu = 0$ and $\sigma = 1$