Question

find the area of the indicated region under the standard normal curve. click here to view page 1 of the standard normal table. click here to view page 2 of the standard normal table. the area between z = - 1 and z = 1.3 under the standard normal curve is (round to four decimal places as needed )

Explanation:

Step1: Recall the properties of the standard - normal table

The standard - normal table gives the area to the left of a z - score. Let $\Phi(z)$ be the cumulative distribution function of the standard normal distribution.

Step2: Find the area to the left of $z = 1.3$

From the standard - normal table, $\Phi(1.3)=0.9032$.

Step3: Find the area to the left of $z=-1$

From the standard - normal table, $\Phi(-1) = 0.1587$.

Step4: Calculate the area between $z=-1$ and $z = 1.3$

The area between $z=-1$ and $z = 1.3$ is $\Phi(1.3)-\Phi(-1)$.
So, $0.9032 - 0.1587=0.7445$.

Answer:

$0.7445$