The purity of a chemical batch, expressed as a percentage,

Chapter 4, Problem 4.5.5

(choose chapter or problem)

The purity of a chemical batch, expressed as a percentage, is equal to 100X, where the random variable X has a beta distribution with parameters a =7.2 and b =2.3. (a) What are the expectation and variance of the purity levels? (b) What is the probability that a chemical batch has a purity of at least 90%?

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