Poisson Distribution Probability Calculator 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. Example: Input: k = 3, lam = 5 Output: 0.14037 import math def poisson_probability(k, lam): """ Calculate the probability of observing exactly k events in a fixed interval, given the mean rate of events lam, using the Poisson distribution formula. :param k: Number of events (non-negative integer) :param lam: The average rate (mean) of occurrences in a fixed interval """ # Your code here pass return round(val,5)