When fishing off the shores of florida, a spotted seatrout must be between 24 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 that are caught, 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?

 0.2858

Step-by-step explanation:

Given : When fishing off the shores of Florida, a spotted seatrout must be between 24 and 30 inches long before it can be kept.

In a region of the Gulf of Mexico, the lengths of the spotted seatrout that are caught, are normally distributed with and .

Let x be the lengths of the spotted seatrout that are caught .

Using formula

For x= 24

For x= 30

Then, by using the z-value table , the probability that a fisherman catches a spotted seatrout within the legal limits will be :-

Hence, the probability that a fisherman catches a spotted seatrout within the legal limits = 0.2858

answer

step-by-step explanation: