ANSWER
0.4983
Step-by-step explanation
We can find the area under the standard normal curve for a z-score using the normal distribution table. This table usually shows the area under the curve to the left of the z-score shown, so to find the area between two values, we have to find the area to the left of the lowest value and subtract it from the area to the left of the greatest value.
In this case, one of the values is z = 0, which is right in the middle of the curve. The total area under the standard normal curve is 1, so the area to the left of z = 0 is 0.5.
Let's find the area under the curve to the left of 2.92,
So, in the curve we have
The area between the two values is,
Hence, the area between z = 0 and z = 2.92 is 0.4983, rounded to four decimal places.
*Note: the last decimals may vary depending on the table we are using. This one shows 5 decimals for each z-score.