Question

a) Given a probability distribution of some discrete distribution as

p_x(x) = $\theta$^x (1 - $\theta$) ^{1 - x}, 0 $\leq x \leq 1$

• Find the moment generating function of X.

b) Given a probability distribution of some continuous distribution as

f_x(x) = $\begin{Bmatrix} \frac {1}{10}, & 20 \leq x \leq 30 \\ 0, & elsewhere \end{Bmatrix}$

• Find the moment generating function of X.

Answer 1

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