What function is used to compute the z value given a cumulative probability?

The function used to compute the z value given a cumulative probability is indeed designed to find the inverse of the standard normal cumulative distribution function. The purpose of this function is to determine the z-score that corresponds to a specified cumulative probability.

When working with a standard normal distribution, cumulative probability values range from 0 to 1, and using this function allows one to identify the z-score such that the area under the standard normal curve to the left of this z-score equals the given cumulative probability.

In the context of business statistics and various analyses, being able to compute the z value is crucial for tasks such as hypothesis testing and confidence interval estimation. This function is particularly useful when you have a critical probability and need to find the corresponding z value used in these statistical methods.

The other functions listed do not serve this specific purpose. While they may be related to probability and distributions, they do not calculate the z value directly from cumulative probabilities.