Answer
0.978, about 97.8% of the shipments will be accepted and about 2.2% will be rejected.
Work Step by Step
$P(accepted)=P(X=0)+P(X=1)+P(X=2)={30 \choose 0}⋅(0.98)^{30}⋅(0.02)^0+{30 \choose 1}⋅(0.98)^{29}⋅(0.02)^1+{30 \choose 2}⋅(0.98)^{28}⋅(0.02)^2=0.545+0.334+0.099=0.978$. About 97.8% of the shipments will be accepted and about 2.2% will be rejected.