The length, in cm, of the Irish snapping shrimp, in the south of Ireland, follows a normal distribution with mean 3.8cm and standard deviation 0.5cm. (a) What is the probability that a randomly captured shrimp specimen has a length greater than 4.5cm ? (b) What is the probability that a randomly captured shrimp specimen has a length between 3.5cm and 4.5cm ? (c) Find the value, l, of a length such that 90% of shrimp specimens have a length less than l