一、(15%) If the moment-generating function of X is $$M(t) = (2/5)e^t + (1/5)e^{2t} + (2/5)e^{3t},$$ find the mean, variance, probability density function of X.
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一、(15%) If the moment-generating function of X is $$M(t) = (2/5)e^t + (1/5)e^{2t} + (2/5)e^{3t},$$ find the mean, variance, probability density function of X.