Find the Equation for NormalCDF on TI-83/84 Calculator

  • Context: Undergrad 
  • Thread starter Thread starter sollinton
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SUMMARY

The TI-83 and TI-84 calculators utilize the normalcdf(minimum, maximum, mean, std. deviation) command to calculate the area under a normal distribution curve between specified points. The equation for the cumulative distribution function (CDF) is not explicitly provided in standard textbooks, unlike the probability density function (PDF) equation. The CDF can be derived from the PDF by integrating the normalpdf equation: y=\frac{1}{\sigma \sqrt{2\pi}}e^{-\frac{1}{2}(\frac{x-\mu}{\sigma})^2}. For practical applications, users can refer to resources like the Wikipedia page on Normal Distribution for further insights.

PREREQUISITES
  • Understanding of normal distribution concepts
  • Familiarity with TI-83/84 calculator functions
  • Knowledge of probability density function (PDF) and cumulative distribution function (CDF)
  • Basic calculus for integration of functions
NEXT STEPS
  • Research the derivation of the cumulative distribution function (CDF) from the probability density function (PDF)
  • Explore the use of the normalcdf command in various statistical problems
  • Learn about the implications of standard deviation and mean in normal distribution
  • Investigate additional statistical functions available on the TI-83/84 calculators
USEFUL FOR

Students, educators, and professionals in statistics, particularly those using TI-83 or TI-84 calculators for statistical analysis and probability calculations.

sollinton
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Anyone who has a TI-83 or 84 calculator will probably know about the normalcdf(minimum, maximum, mean, std. deviation) command. It is used to find the area under a normal curve between two given points.

My question is; does anyone know the equation that the calculator uses to find this result? I looked in my Probability and Statistics textbook, but could only find the equation for normalpdf:
y=\frac{1}{\sigma \sqrt{2\pi}}e^{-\frac{1}{2}(\frac{x-\mu}{\sigma})^2}​
If anyone could help me find the equation for normalcdf, I would greatly appreciate it.

Thank you in advance.
 
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