The time intervals between successive repairs of a system generate an ordinary renewal process {Y 1 , Y 2 , ...} with typical cycle length Y. The costs of repairs are mutually independent, independent...

The time intervals between successive repairs of a system generate an ordinary renewal process {Y₁, Y₂, ...} with typical cycle length Y. The costs of repairs are mutually independent, independent of {Y₁, Y₂, ...} and identically distributed as M. The random variables Y and M have parameters

Determine approximately the probabilities that

(1) the total repair cost arising in does not exceed [0, 3600 days]
 4500,

(2) a total repair cost of is not exceeded before 2200
 3000 days.