Answer
0.05792
Work Step by Step
Using the Binomial Probability table the probability is: $P(X>2)=P(X=3)+P(X=4)+P(X=5)={5\choose 3} \cdot (0.2)^3\cdot (0.8)^2+{5\choose 4} \cdot (0.2)^4\cdot (0.8)^1+{5\choose 5} \cdot (0.2)^5\cdot (0.8)^0=0.0512+0.0064+0.00032=0.05792.$