S1 Normal distribution mod problem

[DelBoy]

i can do normal distribution problems but when it has a mod sign i am not sure how to start.

If the random variable X is distributed as N(5,4) calculate P(|X-5|>3).

[IceMan]

|X-5|>3 => X-5 <-3 or X-5 >3 => X<2 or X>8

work out each probability and add or work out P( 2<X<8) and subtract from 1