Final answer:
The total area to the left of z = -1.17 and to the right of z = 1.17 under the standard normal curve is approximately 1.75.
Step-by-step explanation:
The total area to the left of z = -1.17 and to the right of z = 1.17 under the standard normal curve is equal to twice the area to the left of z = 1.17. This is because the standard normal distribution is symmetric, so the area to the left of z = 1.17 is the same as the area to the right of z = -1.17.
Using the z-table, we can find the area to the left of z = 1.17, which is 0.8770. Therefore, the total area to the left of z = -1.17 and to the right of z = 1.17 is 2 * 0.8770 = 1.754 or approximately 1.75.