Find the area under the normal distribution curve between z = 0 and z = –0.35.
To find the area under the normal distribution curve between z = 0 and z = -0.35, you can use a standard normal distribution table or a statistical calculator.
If using a standard normal distribution table, you need to find the values for z = 0 and z = -0.35. The table provides the area under the curve to the left of the given z-value.
For z = 0, the area under the curve is 0.5000.
For z = -0.35, locate the closest value in the table, which is usually given to two decimal places. The closest value in the table is 0.3632.
To find the area between z = 0 and z = -0.35, subtract the area associated with z = -0.35 from the area associated with z = 0:
Area = 0.5000 - 0.3632 = 0.1368
Therefore, the area under the normal distribution curve between z = 0 and z = -0.35 is approximately 0.1368.
Please note that if you are using a statistical calculator or software, you can directly input the values of z = 0 and z = -0.35 to calculate the area under the curve.