- The random variable \(X \sim \mathrm {~N} \left( \mu , \sigma ^ { 2 } \right)\)
Given that \(\mathrm { P } ( X > \mu + a ) = 0.35\) where \(a\) is a constant, find
- \(\mathrm { P } ( X > \mu - a )\)
- \(\mathrm { P } ( \mu - a < X < \mu + a )\)
- \(\mathrm { P } ( X < \mu + a \mid X > \mu - a )\)