How to Perform Normal CDF on a TI-84 Calculator
The normal cumulative distribution function (CDF) gives the probability that a randomly selected value from a normally distributed population will be less than or equal to a given value.
Steps to Perform Normal CDF on a TI-84 Calculator
- Enter the mean and standard deviation of the normal distribution. Press the “2nd” button followed by the “DISTR” button to access the distribution menu. Select “normalcdf(” from the menu and enter the mean as the first argument and the standard deviation as the second argument. For example, to find the normal CDF for a distribution with a mean of 10 and a standard deviation of 2, you would enter:
normalcdf(10, 2,
- Enter the value at which you want to calculate the CDF. This is the value that you want to find the probability of being less than or equal to. For example, to find the probability of a randomly selected value being less than or equal to 12, you would enter:
normalcdf(10, 2, 12
- Close the parentheses. The final entry should look like this:
normalcdf(10, 2, 12)
- Press the “ENTER” button. The calculator will display the probability of a randomly selected value being less than or equal to the given value.
Example
Let’s say we want to find the probability of a randomly selected value from a normal distribution with a mean of 10 and a standard deviation of 2 being less than or equal to 12.
- Press the “2nd” button followed by the “DISTR” button and select “normalcdf(” from the menu.
- Enter the mean (10), the standard deviation (2), and the value (12) as arguments.
- Close the parentheses and press the “ENTER” button.
The calculator will display the probability, which is approximately 0.8186.
Conclusion
Performing normal CDF on a TI-84 calculator is a simple and straightforward process. You can use this function to find the probability of a randomly selected value from a normal distribution being less than or equal to a given value.
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