There are two trac lights on my way to work. Let X1 be the number of lights at which I must stop on my way to work and let X2 be my way back.both variables are independent and each has pmf of: x 0 1 2 p(x) .2 .5 .3 we are also given: µ = 1.1, ^2 = .49 d. let x3 and x4 be the the number of stops at a red light the following day, assuming independance. T_0 is the sum of all 4. What are the values of E(T_0) and V(T_0)? e. refering to d - what is the value for p(T_0=8) and P(T_0<=7). up until now I did everything manually using a table, now the numbers are getting too big for tables. Which formula do I implement and how? Thanks Solution d) E(T_0) = 4* = 4*1.1 = 4.4 V(T_0) = 42*2 = 16*0.49 = 7.84 e) P(T_0=8) = 0.3*0.3*0.3*0.3 = 0.0081 P(T_0<=7) = 1-P(T_0=8) = 1-0.0081 = 0.9919.