Let X,Y∼N(0,1)X, Y \sim N(0, 1)X,Y∼N(0,1) be independent standard normal random variables. Evaluate P(X+2Y>5)P(X + 2Y > \sqrt{5})P(X+2Y>5).
1−Φ(1)1 - \Phi(1)1−Φ(1)
1−Φ(5)1 - \Phi(\sqrt{5})1−Φ(5)
Φ(1)\Phi(1)Φ(1)
Φ(5)\Phi(\sqrt{5})Φ(5)