# Question: The distribution of the lengths of fish in a certain

The distribution of the lengths of fish in a certain lake is not known, but it is definitely not bell shaped. It is estimated that the mean length is 6 inches with a standard deviation of 2 inches.

a. At least what proportions of fish in the lake are between 3 inches and 9 inches long?

b. What is the smallest interval that will contain the lengths of at least 84% of the fish?

c. Find an interval so that fewer than 36% of the fish have lengths outside this interval.

a. At least what proportions of fish in the lake are between 3 inches and 9 inches long?

b. What is the smallest interval that will contain the lengths of at least 84% of the fish?

c. Find an interval so that fewer than 36% of the fish have lengths outside this interval.

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