Poisson Distribution Probability Calculator
Probability Theory DS practice problem on Onlearn.
Difficulty: easy.
Topics: Understanding Poisson Distribution Probability Calculator, Poisson Mass Function, Lambda Parameter, Factorial Computation, Exponential Decay, Rounding Precision, Probability Theory, Statistical Inference, Computational Mathematics, Data Analysis, Stochastic Processes, Discrete Probability Distributions, Numerical Approximation, Parameter Estimation, Random Variable Modeling, Floating Point Arithmetic.
Write a Python function to calculate the probability of observing exactly k events in a fixed interval using the Poisson distribution formula. The function should take k (number of events) and lam (mean rate of occurrences) as inputs and return the probability rounded to 5 decimal places.