To generate a temporal profile for the given process, we need to identify all the pairs of activities and calculate their average and standard deviation times from the process variants.

Here's a Python script that does this:
```python
import collections
import math

# Define a dictionary to store the temporal profile
temporal_profile = {}

# Define the process variants as a list of lists (activities and frequencies)
variants = [
    ["Create Fine", "Send Fine", "Insert Fine Notification", "Add penalty", "Send for Credit Collection"],
    ["Create Fine", "Payment"],
    ["Create Fine", "Send Fine"],
    ["Create Fine", "Send Fine", "Insert Fine Notification", "Add penalty", "Payment"],
    ["Create Fine", "Send Fine", "Insert Fine Notification", "Add penalty", "Payment", "Payment"],
    ["Create Fine", "Send Fine", "Insert Fine Notification", "Payment", "Add penalty", "Payment"],
    ["Create Fine", "Send Fine", "Payment"],
    ["Create Fine", "Send Fine", "Insert Fine Notification", "Insert Date Appeal to Prefecture", "Add penalty", "Send Appeal to Prefecture"],
    ["Create Fine", "Send Fine", "Insert Fine Notification", "Add penalty", "Payment", "Send for Credit Collection"],
    ["Create Fine", "Send Fine", "Insert Fine Notification", "Payment", "Add penalty", "Send for Credit Collection"],
    ["Create Fine", "Send Fine", "Insert Fine Notification", "Add penalty", "Insert Date Appeal to Prefecture", "Send Appeal to Prefecture", "Receive Result Appeal from Prefecture", "Notify Result Appeal to Offender", "Payment"],
    ["Create Fine", "Send Fine", "Insert Fine Notification", "Appeal to Judge", "Add penalty", "Payment"],
    ["Create Fine", "Send Fine", "Insert Date Appeal to Prefecture", "Send Appeal to Prefecture"],
    ["Create Fine", "Send Fine", "Insert Fine Notification", "Insert Date Appeal to Prefecture", "Send Appeal to Prefecture", "Add penalty", "Receive Result Appeal from Prefecture", "Notify Result Appeal to Offender", "Payment"],
    ["Create Fine", "Payment", "Send Fine", "Insert Fine Notification", "Add penalty", "Payment"],
    ["Create Fine", "Send Fine", "Payment", "Insert Fine Notification", "Add penalty", "Send for Credit Collection"],
    ["Create Fine", "Payment", "Send Fine", "Insert