Question

use the standard normal distribution tables to find the area above the mean.

click here to view page 1 of the standard normal distribution table.
click here to view page 2 of the standard normal distribution table.

the area above the mean is .
(type an integer or decimal rounded to four decimal places as needed.)

Explanation:

Identify the properties of the standard normal distribution

The standard normal distribution is symmetric about its mean, \(z = 0\).

Determine the area above the mean

Since the total area under the probability density curve is exactly \(1\), the symmetry about the mean divides the distribution into two equal halves.

$$ \text{Area above the mean} = \frac{1}{2} = 0.5 $$

Format the final value

Rounding to four decimal places as requested:

$$ 0.5000 $$

Answer:

Use the standard normal distribution tables to find the area above the mean.

The area above the mean is <blank>0.5</blank>.