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10 questions from this quiz
Representing probabilities compactly
GX(t)=∑x=0∞pxtxG_X(t) = \sum_{x=0}^\infty p_x t^xGX(t)=∑x=0∞pxtx
A dummy variable
111
[pt+(1−p)]n[pt + (1-p)]^n[pt+(1−p)]n
eλ(t−1)e^{\lambda(t-1)}eλ(t−1)
p1−(1−p)t\frac{p}{1 - (1-p)t}1−(1−p)tp
(p1−(1−p)t)r\left(\frac{p}{1 - (1-p)t}\right)^r(1−(1−p)tp)r
1x!dxdtxGX(t)∣t=0\frac{1}{x!} \frac{d^x}{dt^x} G_X(t)|_{t=0}x!1dtxdxGX(t)∣t=0
9e−39e^{-3}9e−3
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