The density X of a chemical solution is f (x) = Ax + 2 x

Chapter 2, Problem 2.9.7

(choose chapter or problem)

The density X of a chemical solution is f (x) = Ax + 2 x for 5 x 10. (a) What is the value of A? (b) Compute and sketch the cumulative distribution function of the density. (c) What is the mean density level? (d) What is the variance of the density level? (e) What is the median density level? (f) What is the interquartile range of the density level? (g) Suppose that 10 chemical solutions are made independently of each other. What are the mean and variance of the average density of the ten solutions?

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