Question

find the indicated area. find the area under the standard normal curve to the right of z = 1. 0.1587 0.8413 0.5398 0.1397 multiple choice 4 points find the indicated area.

Explanation:

Step1: Recall the properties of standard - normal distribution

The total area under the standard - normal curve is 1. The cumulative - distribution function of the standard - normal distribution $\varPhi(z)$ gives the area to the left of $z$.

Step2: Find the area to the left of $z = 1$

Looking up $z = 1$ in the standard - normal table (or using a calculator with a normal - distribution function), we find that $\varPhi(1)=0.8413$.

Step3: Calculate the area to the right of $z = 1$

The area to the right of $z$ is given by $1-\varPhi(z)$. So, when $z = 1$, the area to the right is $1 - 0.8413=0.1587$.

Answer:

A. 0.1587