Question

The lengths of Atlantic croaker fish are normally distributed, with a mean of 10.2 inches and...

The lengths of Atlantic croaker fish are normally distributed, with a mean of 10.2 inches and a standard deviation of 1.9 inches Suppose an Atlantic croaker fish is randomly selected.

a. You want to determine the proportion of the croaker population that is longer than 15 inches. what z-score should you use?

b. What proportion of the croaker population that is longer than 15 inches? Give ur answer to 4 decimal places, using z-score from a

c. You select a fish at random. What is the probabilty between 7 and 15 inches?

d. at least how long would a croaker fish need to be in order to be in the top (longest) 6% of the population? Find z-score and length of fish.

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