give the name of the distribution of X and provide the value(s) of the parameter(s) find the mean and the variance of X calculate P(1 ≤ x ≤ 2) ii) or each of the moment generating functions below a) M(t) = (0.3 +0.7e¹)5 b) M(t) = 0.45 + 0.55et c) M(t) = 0.3et+ 0.4e2t +0.2e³t+ 0.1e4t d) M(t) = 1₁0.1etx 4x=1

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