Explanation:
Concept:
The mean of a probability distribution is calculated using the fomrula below
[tex]\mu=\sum_^xP(x)[/tex]By substituting the values, we will have
[tex]\begin{gathered} \mu=\sum_^xP(x) \\ \mu=(0\times0.2)+(1\times0.3)+(2\times0.2)+(3\times0.3) \\ \mu=0+0.3+0.4+0.9 \\ \mu=1.6 \end{gathered}[/tex]Hence,
The final answer is
[tex]1.6[/tex]
