Generate three functions to compute the following metrics for a given time series (30 points) a. Longest period of consecutive values above the mean b. Time intervals between successive extreme events above the mean c. Time intervals between successive extreme events below the mean Note: The function for question 1a should consider a time series data as an input The function for question 1b and 1c should consider a time series data and a threshold as an input. The threshold will act as the extreme event Check for important conditions within the function before proceeding with the calculations.