Find the z-score that has 72.2% of the distribution's area to its right. The z-score is

The z-score that has 72.2% of the distribution's area to its right is z=-0.58879.

Step-by-step explanation:

To find the z-score that has 72.2% of the distribution's area to its right, we have to find z* that satisfies this condition:

This can also be written as:

This can be looked up in the z-score table or in an applet.

The z-score that has 72.2% of the distribution's area to its right is z=-0.58879.

The curve is attached with this example.