PGFs of Standard Distributions (Edexcel A-Level Further Mathematics): Quizzes

Its probabilities into a function

$[pt + (1-p)]^n$

$e^{\lambda(t-1)}$

Failures before first success

$G_X'(1)$

$G_X''(1) + G_X'(1) - [G_X'(1)]^2$

$2$

$3$

$\left(\frac{p}{1-(1-p)t}\right)^r$

$|t| < \frac{1}{1-p}$