Q1which of the following real valued function f: r> ris probability density nction 1+ ixl if lxl < 1 (a) fx)lo otherwise 1+|x b) f(x)\o otherwise (b) fcx) = }if

Q1Which of the following real valued function f: R> Ris Probability density nction 1+ Ixl if lxl < 1 (a) FX)lo otherwise 1+|x b) f(x)\o otherwise (b) fCx) = }if x<1. fx) =5(+Ixl) if Ix<1 otherwise d) fCx) = it Ki otherwise Q.2 For what value of the constant k the real valued function f: R Rgiven by T(X) =- -o < x 0 is p.d.f. (a) b) () 2T (d Q.3 Let X be a random variable with the distribution function 0, if x<0 Fx)= fosx<2 8 l, if x22. Then POX=0)+PX=1.5)+P(X=2)+P(X2 1) equals (a) 3/8 (b) 5/8 (c)7/8. d) 1