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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 (Ovegard, 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?
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