Final answer:
To find the specified area under the standard normal curve, we look up the z-scores z=0.94 and z=1.64 in the z-table, find the corresponding areas to the left, subtract those from 1 to get the areas to the right, and then subtract the smaller area from the larger one.
Step-by-step explanation:
To find the area under the standard normal curve to the left of z=0.94 and to the right of z=1.64, we first use the z-table to find the area to the left of each z-score. However, since z-tables typically provide the area to the left, we need to subtract from 1 to find the areas to the right. For z=0.94 we look up the corresponding area in the z-table, and then subtract this value from 1 to get the area to the right of z=0.94. Similarly, we look up the area to the left of z=1.64 and subtract from 1 to find the area to the right. However, we also need to consider that the area to the right of z=1.64 must exclude the area to the right of z=0.94. Therefore, we subtract the area to the right of z=0.94 from the area to the right of z=1.64 to find the correct value. It is important to note that the sum of the areas in both tails covers the entire area under the curve except for the space between z=0.94 and z=1.64.