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B compute e1 2 xm if x represents the proportion of a


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

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

b. Compute E[(1 2 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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Basic Statistics: B compute e1 2 xm if x represents the proportion of a
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