Answer
$\mu=5$
$\sigma=4.472$
Work Step by Step
Given $p=1/5=0.2$, we have $q=1-p=0.8$
Use the formula for a geometric distribution, we have
$\mu=1/p=5$
$\sigma=\sqrt {q/p^2}=\sqrt {0.8/0.2^2}=4.472$
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