The shooting started when a police patrol tried to arrest the driver of a stolen car who belonged to the PMF, the ministry said in a statement. Police later arrested the shooter with the help of reinforcements.
Iraq faces political uncertainty after a May 12 election marred by historically low turnout and fraud allegations.
Nationalist cleric Moqtada al-Sadr and militia chief Hadi al-Amiri, who won first and second place respectively in the polls, have announced an alliance between their political blocs. But no government has been formed yet and parliament has mandated a recount of the vote.
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