- The continuous random variable \(T\) is uniformly distributed on the interval \([ \alpha , \beta ]\) where \(\beta > \alpha\)
Given that \(\mathrm { E } ( T ) = 2\) and \(\operatorname { Var } ( T ) = \frac { 16 } { 3 }\), find
- the value of \(\alpha\) and the value of \(\beta\),
- \(\mathrm { P } ( T < 3.4 )\)