Question

find the z - score such that the area under the standard normal curve to the left is 0.75.
is the z - score such that the area under the curve to the left is 0.75.
(round to two decimal places as needed.)

Explanation:

Step1: Use the standard normal distribution table or inverse - normal function

We know that if \(Z\sim N(0,1)\), and we want to find \(z\) such that \(P(Z < z)=0.75\).
Using a standard normal table (or a calculator with an inverse - normal function, for example, on a TI - 84 Plus: invNorm(0.75,0,1)).

Step2: Look up the value

Looking up the value in the standard normal table (or using the calculator function), we find that \(z\approx0.67\).

Answer:

\(0.67\)