Final answer:
The question asks for areas under the standard normal distribution curve, for which the probabilities are found using statistical tables, calculators with inverse normal functions, or software.
Step-by-step explanation:
The question pertains to finding areas under the standard normal distribution curve, which is a fundamental concept in probability and statistics. The curve, denoted as N(0,1), represents a normal distribution with a mean (μ) of 0 and a standard deviation (σ) of 1. The area under this curve corresponds to probabilities.
For instance, to find z0.01, we look for the value on the z-axis such that the area to the right of it under the curve is 0.01, and the area to the left is 0.99. The value z0.01 is found to be 2.326 using statistical tables, a calculator, or software that provides the inverse normal function.
Similarly, if you need to find a z-value given an area to the right or left of it, you would use the same tools. For example, if the area to the left of the z-value is 0.60, the area to the right is 0.40. Using the invNorm function on technology devices like the TI-83/84 series calculators, or a z-table, you could find that corresponding z-value which may be required for calculations in problems related to probability density function distributions.