Question

Find the Z score to the nearest hundred thousand satisfies the given condition 0.166 square units of the standard normal distribution is to the left of the Z

Answer 1

The sum of the total area of a distribution is equal to 1. In our problem, we have 0.166 square units to the left of our value, therefore, we have the following area on the right

$1-0.166=0.834$

Using a z-table, we can find the corresponding z-value for this area to the right

The corresponding z-score to this area is 0.97, however, this value is below the mean, therefore it is negative.

The coresponding z-value is

$z=-0.97$