\text { Suppose the moment generating function (mgf) of a random variable } X \text { is }\left(\frac{8}{9}+\frac{1}{9} e^{t}\right)^{9} ) Identify the probability distribution of the random variable. (Be specific about the parameters.)ts) \text { Find } P(X=3) \text {. } \text { c) What is the mean ( } \mu=E[X]) \text { of this random variable? } \text { What is the variance }\left(\sigma^{2}=\operatorname{Var}[\mathrm{X}]\right) \text { of this random variable? }