Given the discrete random variable X has the following probability distribution function g(x) = {Px (2рх ,х 3D 0,1,2) рх2,х 3 3,4 I| 1 Where p is a constant. Show that p - Hence, find 31 (a) Р(X > 4)...

I need step by step method. Pls also provide formula. No excel. Thanks

Extracted text: Given the discrete random variable X has the following probability distribution function g(x) = {Px (2рх ,х 3D 0,1,2) рх2,х 3 3,4 I| 1 Where p is a constant. Show that p - Hence, find 31 (a) Р(X > 4) (b) P(X < 3)="" (c)="" p(1="">< x="">< 4)="" (d)="" р(\х="" —="" 31=""><>