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Fish story: According to a report by the U.S. Fish and Wildlife Service, the mean length of six-year-old rainbow trout in the Arolik River in Alaska is 478 millimeters with a standard deviation of 38 millimeters. Assume these lengths are normally distributed. Round the answers to at least two decimal places. (a) Find the 54th percentile of the lengths.

Respuesta :

Answer:

11.29.

Step-by-step explanation:

We are given that The mean length of six-year-old rainbow trout in the Arolik River in Alaska is 478 millimeters with a standard deviation of 38 millimeters.

We are also given that these lengths are normally distributed.

So, The highest value is at mean .(Refer the attached figure).

Formula : [tex]Percentile = \frac{Length}{Maximum} \times 100[/tex]

[tex]54 = \frac{Length}{478} \times 100[/tex]

[tex]\frac{5400}{478} =Length[/tex]

[tex]11.297 =Length[/tex]

The 54th percentile of the lengths is 11.29.

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