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Verify that the integral of the beta density from -00 to oo

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

Q4A). Find mean and variance of a random variable X having the

moment generating function

Mx(t) = e^(et-1)

Q4B) Verify that the integral of the beta density from -00 to oo

equals 1 for

where alpha = 2 and beta =4

(5/5)
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