Only solve Q$\mathrm{.}4$ please!!!!

$3.$ Consider the example covered during Class session $3$ on $$Risk Pooling Across Locations,$$ and answer the following questions:

a$)$ What is the average inventory of product B in NJ and MA$?$

b$)$ Assuming that the demand for product B across the MA and NJ locations are independent. Now if we centralize the warehouses for product B$,$ what is the average inventory of product B at the centralized warehouse?

c$)$ How much inventory reduction we get by having a centralized warehouse for product B$?$

$4.$ For this question, assume that the demand for product B across the MA and NJ locations are negatively correlated with correlation coefficient of $-0\mathrm{.}5.$ And answer the following questions:

$($a$)$ If we centralize the warehouses for product B$,$ what is the average inventory of product B at the centralized warehouse?

$($b$)$ How much inventory reduction we get by having a centralized warehouse for product B$?$

$($c$)$ Compare your answer in Part b$-$Question $4$ with your answer in part c$-$Question $3$ and briefly explain the intuition for your results.