First, stop with the idea there is “distribution of income”. There is no such thing in capitalism. Income is earned, not distributed. The only ones to whom income is distributed are layabouts or those truly disabled. The layabouts will vote for more handouts because they will never earn the things they desire.
In “distribution of income”, I’m using it as a noun, not a verb. It is a statistic that tells how income is spread across those who earned that income. It is not being used as a verb here.