The weight of fish in lake paradise follows a normal distribution with mean of 7.5 lbs and standard deviation of 2.5 lbs. a. what proportion of fish are between 9lbs and 12lbs? give your answer to 3 decimal places. b. alex boasts that he once caught a fish that was just big enough to be in the top 3% of of the fish population. how much did his fish weigh? give your answer to 2 decimal places. c. if one catches a fish from the bottom 20% of the population, the fish must be returned to the lake. what is the weight of the smallest fish that one can keep? give your answer to 2 decimal places.