For a T density with degrees of freedom v=2 (e.g. plug in v=2 to the density formula) computeP(0

NOTE: While setting up this density function you will encounter the Gamma function, and while it has well-known formulas to define its numerical values, the only ones you should need are(1)which is=1, and (32) which is 2. Lastly of course it is OK to use any integral calculator or numerical solvers to compute this integral but if desired it can be done by hand using the substitution of 2tan()