Random variable X has CDF given by: Fx (x): = 0 0.3 0.8 1 x...

 

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Random variable X has CDF given by: Fx (x): = 0 0.3 0.8 1 x<-2 -2<x< 1 1<x< 5 x > 5 a) Sketch the CDF. b) Find P[X> 1], P[X < 1], P[1 < X < 5] and P[1 ≤ X < 5]. c) Find the PMF, PX(x), (remember it is defined Vx ER). Random variable X has CDF given by: Fx (x): = 0 0.3 0.8 1 x<-2 -2<x< 1 1<x< 5 x > 5 a) Sketch the CDF. b) Find P[X> 1], P[X < 1], P[1 < X < 5] and P[1 ≤ X < 5]. c) Find the PMF, PX(x), (remember it is defined Vx ER).