Final answer:
To calculate the area under the standard normal curve between z = -1.2 and z = 1.2, consult a Z-table to find the areas to the left of each z-score and then subtract the area to the left of z = -1.2 from the area to the left of z = 1.2. If a Z-table is unavailable, use statistical software or a scientific calculator with relevant functions to obtain the area.
Step-by-step explanation:
The area under the standard normal curve between z = -1.2 and z = 1.2 can be found using a Z-table or standard normal distribution table. To calculate this, we first look up the area to the left of z = -1.2 and also z = 1.2. The Z-table generally provides the area to the left of a given z-score. So, the area to the left of z = 1.2 minus the area to the left of z = -1.2 will give us the desired area between these two z-scores.
Given that the Z-table shows that the area to the left of z = -1.2 is symmetrical to the area to the right of z = 1.2 in a standard normal distribution, where the total area under the curve is 1, we can find the area between by subtracting the area to the left of z = -1.2 from 1 and then adding this value to the area to the left of z = 1.2, as both these areas exclude the middle part we are interested in.
If you do not have access to a Z-table, this calculation can be done using statistical software or a scientific calculator with the capacity to perform standard normal probability calculations.