Respuesta :

First, let's convert the percentage value to a decimal value:

[tex]71.9\%=\frac{71.9}{100}=0.719[/tex]

If 71.9% of the distribution area is to the right, that means 100% - 71.9% of the distribution area is to the left, that is, 28.1% (or 0.281).

Now, let's look at the z-table for a z-score that corresponds to a value of 0.281.

Looking at the z-table, the corresponding value is z = -0.58.