Question

# 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. Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000. b) Find the probability that a randomly selected Atlantic cod has a length of 38.68 cm or more. this is my homework problem

Answer

0.0013

- Q:What is the mean length of Atlantic cod caught in nets in Karlskrona? A: The mean length of Atlantic cod caught in nets in Karlskrona is 49.9 cm.
- Q:What is the standard deviation of the length of cod in Karlskrona? A: The standard deviation of the length of cod in Karlskrona is 3.74 cm.
- Q:What is the z-score of a 38.68 cm fish? A: z = (x - mu) / sigma = (38.68 - 49.9) / 3.74 = -3.00.
- Q:What is the probability that a randomly selected Atlantic cod has a length of 38.68 cm or more? A: The probability can be found using a z-score table or calculator. P(X >= 38.68) = P(Z >= -3.00) = 0.0013.