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[answered] 2 ) Recreational fishers enjoy fishing for the Red Drum fis


2 ) Recreational fishers enjoy fishing for the Red Drum fish. In order to check on the Red Drum population, scientist often catch the fish, tag them, and then release them back into the water. The mean length of the Red Drum fish captured by the scientists is 15.4 inches, with a standard deviation of 4.5 inches.?

A. Current Texas Parks and Wildlife regulations (laws) only allow fisherman to keep Red Drum fish that are between 20 and 28 inches long. Fish that are any other length must be thrown back. Assume that the distribution of lengths of Red Drum fish is approximately normally distributed . What is the probability that a Red Drum fish caught on the Texas coast can be brought home for dinner??

B.?What is the probability that a randomly selected Red Drum fish is longer than 25 inches? Would a 25 - inch Red Drum fish be unusually long?

C. What is the likelihood that a random Red Drum fish is shorter than 9 inches? Would a Red Drum fish that was 9 inches long be unusually short?

D. If you wanted to find the length that separates the top 2% (longest) of Red Drum fish from the lower 98% of the Red Drum fish, what Z - score would you use??

E. How long would the top 2% of Red Drum fish be??


 


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