This homework follows the standard late penalty: 0% if in the stat310 mailbox by Thursday 9 Feb 4pm, 10% by 5pm the following day, 100% otherwise. Please read the syllabus for other homework policies.
(3 pts) For each of the following mgfs, identify the distribution of the corresponding random variable (including it’s parameters)
(8 pts) Given the pmf \( f(k) = \frac{-1}{ln(1-p)}\frac{p^{k}}{k}, k = 1, 2, …. \infty, 0 < p < 1 \)
(8 pts) Given \( f(x) = \frac{c}{(1+x^{2})^{2}} \) \( -1 < x < 1 \)
(4 pts) Given \( F(x) = (1 - cos(x))/2 , x \in [0, \pi] \); Find: