Question: 85. Let X have a standard beta density with parameters and . a. Verify the formula for E(X) given in the section. b. Compute

85. Let X have a standard beta density with parameters  and .

a. Verify the formula for E(X) given in the section.

b. Compute E[(1  X)

m]. If X represents the proportion of a substance consisting of a particular ingredient, what is the expected proportion that does not consist of this ingredient?

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