1. 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) What length are 15% of all Atlantic cod longer than?

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1. 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) What length are 15% of all Atlantic cod longer than?
Transcribed Image Text:1. 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) What length are 15% of all Atlantic cod longer than?
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