The pH of water samples from a specific lake is a random variable Y with probability

Chapter 4, Problem 4.31

(choose chapter or problem)

The pH of water samples from a specific lake is a random variable Y with probability density function given by f (y) = $ (3/8)(7 y)2, 5 y 7, 0, elsewhere. a Find E(Y ) and V(Y ). b Find an interval shorter than (5, 7) in which at least three-fourths of the pH measurements must lie. c Would you expect to see a pH measurement below 5.5 very often? Why?

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