Answer
$\mu=1.25$
$\sigma=0.559$
Work Step by Step
Given $p=4/5=0.8$, we have $q=1-p=0.2$.
Using the formula for a geometric distribution, we have
$\mu=1/p=5/4=1.25$ and
$\sigma=\sqrt {q/p^2}=\sqrt {0.2/0.8^2}=0.559$
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