Answer
$E(X)=2.855$ live births.
Work Step by Step
$E(X)=μ_X=Σ[x.P(x)]=1\times P(1)+2\times P(3)+3\times P(3)+4\times P(4)+5\times P(5)+6\times P(6)+7\times P(7)+8\times P(8)=1\times0.313+2\times0.244+3\times0.165+4\times0.099+5\times0.054+6\times0.043+7\times0.021+8\times0.061=2.855$