2. The continuous random variable \(X\) is uniformly distributed over the interval \([ 2,6 ]\).
- Write down the probability density function \(\mathrm { f } ( x )\).
Find
- \(\mathrm { E } ( X )\),
- \(\operatorname { Var } ( X )\),
- the cumulative distribution function of \(X\), for all \(x\),
- \(\mathrm { P } ( 2.3 < X < 3.4 )\).