Aphysical fitness association is including the mile run in its secondary-school fiitness test. the time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a standard deviation of 50 seconds. the fitness association wants to recognize the fastest 10% of the boys with certificates of recognition. what time would the boys need to beat in order to earn a certificate of recognition from the fitness association? [read the problem carefully and try to show as much work as possible]