Final answer:
The question asks for a probability involving the standard normal distribution but lacks a complete description. Probabilities can be determined using a z-table or calculators like the TI-83/84 series using the invNorm function. For example, to find the z-score with a right-tail area of 0.01, you would use invNorm(0.99) to get z0.01 = 2.326.
Step-by-step explanation:
The subject question appears to be asking for the calculation of a probability using the standard normal distribution, also known as the z-distribution. When a question specifies a probability like P(1.23) without a clear inequality (for instance, P(Z > 1.23) or P(Z < 1.23)), the question seems to be incomplete. Nevertheless, we can provide a general explanation of how to find such probabilities.
To calculate a probability for a particular z-score (the standard score), we use a z-table or statistical software. Most z-tables provide the cumulative probability from the left up to the z-score. If we are given, for example, z0.01, this indicates that we want the z-score such that the area to the right is 0.01 and the area to the left is 0.99. We can find this z-score using the invNorm function on a calculator like the TI-83/84 series, which in the example given would yield z0.01 = 2.326. The invNorm function or a z-table can also be used to find critical values for hypothesis testing or calculating confidence intervals.