Question

How do you find the area under the standard normal distribution curve between z = 0 and z = 0.75?

Answer 1

There is no formula, you have to consult a table which is given at the end.
The area of the curve up to `z=0` is `1/2` so what you want is the area of the curve up to `z=0.75` and subtract `1/2`

At `z=0.75` you get `0.7734` so the area from `z=0` to `z=0.75` is

`0.7734 - 0.5 = 0.2734`

Footnote

A table you can use Standard Normal Table