Question

find the indicated area under the standard normal curve. between z = 0 and z = 1.16 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 = 0 and z = 1.16 under the standard normal curve is (round to four decimal places as needed.)

Explanation:

Step1: Recall the properties of standard - normal table

The standard - normal table gives the cumulative area from $z = -\infty$ to a given $z$ - value. The cumulative area for $z = 0$ is $0.5$ (since the standard normal distribution is symmetric about $z = 0$).

Step2: Look up the cumulative area for $z = 1.16$

From the standard - normal table, the cumulative area from $z=-\infty$ to $z = 1.16$ is $0.8770$.

Step3: Calculate the area between $z = 0$ and $z = 1.16$

We subtract the cumulative area at $z = 0$ from the cumulative area at $z = 1.16$. Let $A$ be the area between $z = 0$ and $z = 1.16$. Then $A=0.8770 - 0.5$.
$A = 0.3770$

Answer:

$0.3770$