Normal Distribution PDF Calculator

Probability Theory DS practice problem on Onlearn.

Difficulty: medium.

Topics: Understanding Normal Distribution PDF Calculator, Gaussian PDF, Precision Rounding, Exponential Function, Standard Deviation, Arithmetic Mean, Probability & Statistics, Numerical Analysis, Calculus, Data Preprocessing, Statistical Inference, Probability Distributions, Floating Point Arithmetic, Transcendental Functions, Feature Scaling, Hypothesis Testing.

Write a Python function to calculate the probability density function (PDF) of the normal distribution for a given value, mean, and standard deviation. The function should use the mathematical formula of the normal distribution to return the PDF value rounded to 5 decimal places.