Remember that a continuous random variable X is said to have a Gamma distribution with parameters 0 and 0, shown as X Gamma(, ), if its PDF is given by If X Gamma(, ), find the MGF of X Remember that fx(x) 1a 1e xx I(a) 0 x 0 otherwise

Question: Remember that a continuous random variable X is said to have a Gamma distribution with parameters > 0 and > 0, shown as

Remember that a continuous random variable X is said to have a Gamma distribution with parameters α > 0 and λ > 0, shown as X ∼ Gamma(α, λ), if its PDF is given by fx(x) = 1a-1e-xx I(a) 0 x > 0 otherwise

If X ∼ Gamma(α, λ), find the MGF of X.

Remember that

fx(x) = 1a-1e-xx I(a) 0 x > 0 otherwise

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