A machine produces 0, 1 or 2 defective pieces in a day with an associated probability of  \(\frac{{1}}{{6}}\)\(\frac{{2}}{{3}}\) and \(\frac{{1}}{{6}}\) respectively. The mean value and the variance of the number of defective pieces produced by the machine in a day, respectively, are

1
1 and \(\frac{{1}}{{3}}\)
2
\(\frac{{1}}{{3}}\) and 1
3
1 and \(\frac{{4}}{{3}}\)
4
\(\frac{{1}}{{3}}\) and  \(\frac{{4}}{{3}}\)

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