A stock day trader has a winning system and he wants to maximize his profit per hour. He has found that when he trades 5 hours a day, 90% of the time he will make 2 points profit or less and 10% of the time he will make more than 2 points profit. He knows that to earn the maximum total amount of profit he will have to trade 5 hours per day, but rather than maximizing his total profit, he wants to make the maximum hourly income. To do this he plans to trade each day until he hits 2 points in profit, then he quits. His reasoning is that since he is less likely to make more than 2 points a day, he will maximize his return per hour by stopping as soon as he hits his 2 points. Will his plan work to gain the maximum profit per hour?