You are tasked with analyzing system error logs$,$ which include two primary types of errors: "Network Error" and "System Crash". For the purpose of analysis, "Network Error" is represented by the number $0,$ while "System Crash" is represented by the number $1.$

$($a$)(3$ marks$)$ During a specific week, your analysis reveals $15$ instances of "Network Errors" and $5$ instances of "System Crashes". Determine which error type was more frequently logged during this week?

$($b$)(7$ marks$)$ Using a programming language $($either R or Python$),$ write a script to simulate a more extensive analysis of these system error logs$.$ Start with an initial dataset comprising $15$ instances of "Network Error" and $5$ instances of "System Crash". Execute a resampling procedure for at least $800$ trials. In each trial, randomly select an error event from this initial dataset.

Task: Compute and plot the relative frequency $($or estimated probability$)$ of each error type as it emerges over the course of these trials. The aim is to observe how the estimated probabilities compare and stabilize over an extended number of trials.

Note: To earn full marks, you should submit both your code and the output generated by it$.$ Ensure that your submission clearly includes the executed results of the code along with the script itself.