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A researcher is interested in the lengths of Salvelinus fontinalis (brook trout), which are known to...

A researcher is interested in the lengths of Salvelinus fontinalis (brook trout), which are known to be approximately Normally distributed with mean 80 centimeters and standard deviation 5 centimeters.

a. What proportion of these fish are larger than 86.5 centimeters in length?

b. If you take a random sample of 6 brook trout, what is the probability that their average length is greater than 86.5 cm?

c. What is the minimum length for the top 15% of brook trout?

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