Final answer:
The area to the right of z=2.17 under the standard normal curve is found by subtracting the area to the left from 1, using a z-table or a calculator command like 'invNorm' on a TI-83 or 84+ calculator.
Step-by-step explanation:
The student's task involves finding the area under the standard normal curve to the right of the z-score 2.17. The standard normal curve, also known as the z-curve, is symmetrical, and the total area under the curve is 1. Ordinarily, a z-table provides the area to the left of a given z-score. To find the area to the right of z=2.17, one would subtract the table value from 1. If the z-table shows that the area to the left of z=2.17 is 0.98 (for example), the area to the right would be 1 - 0.98 = 0.02. This value would be rounded to four decimal places if needed.
Alternatively, using a calculator or software that has the capability, like the TI-83 or 84+ calculators, one could use the command invNorm(1 - proportion, mean, standard deviation) to directly find the area to the right of a z-score. For z=2.17, the command would be invNorm(1 - 0.02, 0, 1), because the mean and standard deviation of the standard normal distribution are 0 and 1, respectively. This command directly gives the area to the right without needing to subtract from 1.