The mean of a probability distribution can be found by applying the formula:
[tex]\mu=\sum_^x\cdot P(x)[/tex]By replacing the given values, we obtain:
[tex]\begin{gathered} \mu=0*0.15+1*0.3+2*0.3+3*0.25 \\ \mu=0+0.3+0.6+0.75 \\ \mu=1.65\approx1.7 \end{gathered}[/tex]The answer is 1.7