The percentage of impurities per batch in a chemical product is a random variable Y with

Chapter 4, Problem 4.124

(choose chapter or problem)

The percentage of impurities per batch in a chemical product is a random variable Y with density function f (y) = $ 12y2(1 y), 0 y 1, 0, elsewhere. A batch with more than 40% impurities cannot be sold. a Integrate the density directly to determine the probability that a randomly selected batch cannot be sold because of excessive impurities. b Applet Exercise Use the applet Beta Probabilities and Quantiles to find the answer to part (a).

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