Seven thousand runners enter a local marathon in which they can qualify to enter the New York City Marathon if they complete the 26-mile plus...

Seven thousand runners enter a local marathon in which they can qualify to enter the New York City Marathon if they complete the 26-mile plus distance in under 3 hours and 10 minutes. Only 6,350 runners complete the race. If finishing times are normally distributed with a mean of 3 hours 40 minutes and a standard deviation of 28 minutes, how many runners qualified? (Note: Your final answer is the number of runners who qualified, not the proportion of runners who qualified.)