Solution
= Solution
The interval within one <standard deviation> is $[3/5,9/5]$. Of the possible integer outcomes $0,1,2$, only $1$ lies in this interval. Hence
$$
\boxed{P(|X-\mu|\leq\sigma)=P(X=1)=\frac35}.
$$
= Solution
The interval within one <standard deviation> is $[3/5,9/5]$. Of the possible integer outcomes $0,1,2$, only $1$ lies in this interval. Hence
$$
\boxed{P(|X-\mu|\leq\sigma)=P(X=1)=\frac35}.
$$