a researcher is interested in the lengths of salvelinus fontinalis, or brook trout, which are known to be approximately normally distributed with mean 80 centimeters and standard deviation 5 centimeters. to help preserve brook trout populations, some regulatory standards need to be set limiting the size of fish that can be caught. the standard is set so that all fish smaller than 70.20 centimeters or larger than 89.80 centimeters must be thrown back. what proportion of the population would be thrown back? show your work to get full/partial credit.