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Anarel [89]
3 years ago
15

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 Ar

olik 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.

Mathematics
1 answer:
Yanka [14]3 years ago
4 0

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 : Percentile = \frac{Length}{Maximum} \times 100

54 = \frac{Length}{478} \times 100

\frac{5400}{478} =Length

11.297 =Length

The 54th percentile of the lengths is 11.29.

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