Probabilities from a t-distribution

Problem

\(T ~ t_4\) . Use table or software (Eviews, Excel, Wolfram aplha, calculator,...) to find

  1. \(P\left( T>2 \right)\)
  2. \(P\left( \left| T \right|>2 \right)\)
  3. \(t\) such that \(P\left( T>t \right)=0.05\)
  4. \(t\) such that \(P\left( \left| T \right|>t \right)=0.05\)
  5. I you solved e) using software, solve it using a table (and vice versa)

Solution