In a municipality there are 6250 households, of which 2250 have a fast internet connection. Two thirds of the households that have a fast internet connection also have a subscription to a streaming service. $46 \%$ of all households have neither a fast internet connection nor a subscription to a streaming service.
Consider the following events:\ $A$ : ``A randomly selected household has a fast internet connection.''\ $B$ : ``A randomly selected household has a subscription to a streaming service.''\ Create a completely filled four-field table for the described situation and check whether the events $A$ and $B$ are stochastically independent.