using this formula: SS $=$ z $\backslash$times $(($AVGL$+$r$)\backslash$times STD$^2+$ AVG$^2\backslash$times STDL$^2),$ solve this question about saftey stock:

After further analysis, John calculates the lead time to be stochastic with a mean of $12$ weeks and a variance of $20$ weeks $($assume a normal distribution of the lead time$).$ Furthermore, $$the need for semiconductors is not really deterministic$$ John heard from his Marketing colleagues. $2700$ is the expected yearly demand but there is huge uncertainty in that$.$ Production and Marketing departments estimate a yearly variance of $100.$ After tough negotiations, Marketing and Production agreed on a minimum cycle service level is $98\%.$ In parallel, John negotiated with the supplier and agreed that he can place an order every $3$ months. Assume the fixed ordering costs to be $500$ Euros from now on$.$

Given the new estimates, John thought about another policy that could be implemented. What is the appropriate policy in this setting? Calculate the safety stock for this policy.