My question whether there is another way of approaching this problem other than realizing the probability in question can be rewritten as:

The reason that I ask is that I had a hard time seeing it.

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- Aug 20th 2013, 02:38 AMdownthesun01Normal distribution

**My question whether there is another way of approaching this problem other than realizing the probability in question can be rewritten as:**

**The reason that I ask is that I had a hard time seeing it.** - Aug 20th 2013, 11:48 PMchiroRe: Normal distribution
Hey downthesun01.

The transformation you used is probably the best way to do it. Some alternatives include looking at (X-1)^2 [in terms of a chi-square distribution after centering) or using the transformation theorem to get the exact PDF of X^2 + 2X.

Again, the best thing in terms of simplicity is to do what you have done.