Q2 (30P) a) Probability function of X discrete random variable: сх x = 1, 2, 3, .. .,10 P(x) = { ..... ..... in other cases get in the form. i) ii) Find the cumulative distribution function (F (x))...

Extracted text: Q2 (30P) a) Probability function of X discrete random variable: сх x = 1, 2, 3, .. .,10 P(x) = { ..... ..... in other cases get in the form. i) ii) Find the cumulative distribution function (F (x)) and plot F(x). ii) Find the probabilities of P (x<3), p="" (x=""> 2) and P (2<><4) using="" the="" distribution="" function.="" b)="" probability="" density="" function="" of="" continuous="" random="" variable="" x,="" sc(3="" +="" x)="">< x="">< 3="" in="" other="" cases="" as="" given.="" find="" the="" cumulative="" distribution="" function="" (f="" (x))="" and="" plot="" f(x).="" i)="" ii)="" ii)="" calculate="" the="" probabilities="" p="" (1.3=""><2), p="" (x=""> 2.5) and P (X<>