for exercises 7 through 26, find the area under the standard normal distribution curve.
7. between ( z = 0 ) and ( z = 0.98 )

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Accepted Answer

# Explanation:
## Step1: Use the standard normal table
The area under the standard normal curve between $z = 0$ and $z=0.98$ can be found using the standard - normal distribution table. The standard - normal distribution table gives the cumulative area from the left up to a given $z$ - value.
The cumulative area up to $z = 0$ is $P(Z\leq0)=0.5$ (by the property of the standard normal distribution, since the standard normal distribution $N(0,1)$ is symmetric about $z = 0$).
The cumulative area up to $z=0.98$ is $P(Z\leq0.98)$. Looking up $z = 0.98$ in the standard - normal table (where the table has rows for the integer and first decimal place of $z$ and columns for the second decimal place of $z$). For $z=0.98$, we find $P(Z\leq0.98)=0.8365$

## Step2: Calculate the area between $z = 0$ and $z = 0.98$
We use the formula $P(0<Z<0.98)=P(Z < 0.98)-P(Z < 0)$

Substitute the values we found from the table: $P(0<Z<0.98)=0.8365 - 0.5$

$$P(0<Z<0.98)=0.3365$$

# Answer:
$0.3365$

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QUESTION IMAGE

Question

Explanation:

Step1: Use the standard normal table

Step2: Calculate the area between \(z = 0\) and \(z = 0.98\)

Answer: