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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.
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?

Sagot :

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