The cumulative distribution function (CDF) for a normal distribution provides the probability that a random variable, drawn from that distribution, will be less than or equal to a specified value. On a TI-84 graphing calculator, a specific function facilitates the computation of this probability. For instance, to determine the probability of a value falling between 1 and 2 in a normal distribution with a mean of 0 and a standard deviation of 1, one would utilize this function with appropriate parameters.
This functionality offers significant advantages in statistical analysis and probability calculations. It allows for quick and accurate determination of probabilities related to normally distributed data, a common occurrence in various fields, including science, engineering, and finance. Its integration into a widely used calculator like the TI-84 democratized access to these calculations, moving them beyond specialized statistical software packages and making them accessible to students and professionals alike. Prior to such integration, users would rely on statistical tables or more complex computational methods to derive these probabilities.