The size of fish is very important to commercial fishing: A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm (Qvegard, Berndt & Lunneryd, 2012). Assume the length of fish is normally distributed. a.) State the random variable.
b.) Find the probability that an Atlantic cod has a length less than 52 cm.
c.) Find the probability that an Atlantic cod has a length of more than 74 cm.
d.) Find the probability that an Atlantic cod has a length between 40.5 and 57.5 cm.
e.) If you found an Atlantic cod to have a length of more than 74 cm, what could you conclude?
f) What length are 15% of all Atlantic cod longer than?