When fisshing off the shores of Florida, a spotted seatrout must be between 14 and 30  inches long before it can be kept; otherwise it must be returned to the waters. In a region of the Gulf of Mexico, the lengths of the spotted seatrout are normally distributed with a mean of 22 inches, and a standard deviation of 4 inches.  What is the probability that a fisherman catches a spotted seatrout within the legal limits? What is the probability that a fisherman catches a spotted seatrout outside the legal limits before catching his legal seatrout (between 14 and 30 inches). Assume all his catches are independent.

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When fisshing off the shores of Florida, a spotted seatrout must be between 14 and 30  inches long before it can be kept; otherwise it must be returned to the waters. In a region of the Gulf of Mexico, the lengths of the spotted seatrout are normally distributed with a mean of 22 inches, and a standard deviation of 4 inches. 

What is the probability that a fisherman catches a spotted seatrout within the legal limits?

What is the probability that a fisherman catches a spotted seatrout outside the legal limits before catching his legal seatrout (between 14 and 30 inches). Assume all his catches are independent. 

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