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.