What is the connection between crime and unequal access to basic services

Truthfully speaking there is none. There are plenty of "underprivileged" people who have risen to success based on their determination. Everyone has equal access to information because information is free. The only reason someone would commit a crime is if they were brought up into believing that that was what was expected of them from society due to their geographical location, income, color, religion, etc. Those who are determined to push past the narrative prove that "unequal access to basic services" and crime are not directly related. Anyone who tells you otherwise wishes you to remain a slave to the system because they believe that being poor is where you belong and where you should stay.