Final answer:
The area below z = 1.37 can be found using a Z-table or statistical software. The Z-table provides the cumulative area to the left of the z-score, which needs to be rounded to four decimal places.
Step-by-step explanation:
To find the area below z = 1.37 on the standard normal distribution, we reference a Z-table or use statistical software.
Usually, the Z-table lists the area to the left of the z-score, which is the same as the area below for the standard normal curve since it's symmetrical around zero.
Since our specific z-score of 1.37 is not listed in the examples provided, we will need to interpolate between the values given or use other methods, such as a calculator, software, or an online tool to obtain the precise area.
As the examples state, the area to the left of the z-score of 1.5 is 0.9332.
We can infer that the area to the left for z = 1.37 would be slightly less than this value but greater than the area value for a smaller z-score.
Once you find or calculate the exact area to the left of z = 1.37, that value is the area below z = 1.37, and you would round it to four decimal places as required.
Your correct question is: Find the area under the standard normal curve to the left of z = 0.35 and to the right of z = 1.37 . Round your answer to four decimal places, if necessary.