Final answer:
The area under the unit normal curve to the left of z=2.52 can be found using a z-table or a calculator. Subtract the table value from 1 to get the area to the right. TI-83, 83+, or 84+ calculators can use the 'invNorm' function for this purpose.
Step-by-step explanation:
To find the area under the unit normal curve to the left of a given z-score, you can use a standard normal distribution table or a calculator. For a z-score of 2.52, first, locate the value closest to 2.52 in the z-table, which represents the cumulative area to the left of that z-score.
The area to the right can be found by subtracting the cumulative area from 1. Using technological tools such as a TI-83, 83+, or 84+ calculator, the 'invNorm' function can also be used to find the area to the left by entering 'invNorm(0.975,0,1)' and to the right by subtracting that result from 1.