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Question: answer is a but please explain using gamma function while...

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15. Find the moment generating function for the random variable X whose densityis 4re 2a (A) (2 - t)2 (B) a-21)7 4 -t2 1-4t
answer is A but please explain using gamma function
while alpha is 2 and Beta is 1/2 (WHY ??)
THanks !!!

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