Answer:
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:
[tex]P(z>z^*)=0.722[/tex]
This can also be written as:
[tex]P(z<z^*)=1-0.722=0.278[/tex]
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.