How Does a Higher Hash Rate Correlate with a Lower Variance in Solo Mining Rewards?

For a solo miner, a higher hash rate means they submit more guesses per second, increasing their probability of finding the next valid block. This higher probability translates to a shorter average time between successful block finds.

A more frequent, successful block find reduces the variance (the unpredictability) in the miner's revenue stream, making their income more stable over time.