Please use python to simulate the results, if you can't do it by hand if possible

Suppose buses arrive according to a Poisson process with an expected arrival time of 3.5 minutes. Estimate and simulate the probability that the average of 25 bus arrival times will be between 3.5 and 4 minutes. How well do the simulation and the estimate match each other? Now, for the same situation, estimate and simulate the probability that the average bus arrival time will be greater than 5 minutes. How well do the simulation and estimate match each other. In a few words, explain why the accuracy for the two questions might be so different