hiii...can someone help me please?! thxxxx

Suppose the interarrival times have the distribution

P{Xi = 1} =p

P{Xi = 2} =q= 1-p

where 0 <p< 1.

(a). By conditioning on X1, show thatm(t) = 1 +p m(t-1) +q m(t-2) fort≥ 2.

(b). Given thatm(t) =A+B t+C rtfor integerst≥ 0, whereA,B,Candrare constants, use the equation of (a) and the values ofm(0) andm(1) to find the values of those constants.

(c). Use the result of (b) to verify the Elementary Renewal Theorem for this process.

(c). Use the result of (b) to verify the Elementary Renewal Theorem for this process.