QM II, Mathematics

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A HOSPITAL CURRENTLY ORDERS SALINE AT THE BEGINNING OF EACH MONTH. THIS MONTH, THEY HAD 178 BAGS OF SALINE IN STOCK AND ORDERED 1,277 BAGS. DEMAND FOR SALINE IS NORMALLY DISTRIBUTED AT 40 BAGS DAILY WITH A STANDARD DEVIATION OF 9 BAGS AND LEAD TIME IS 5 DAYS. WHAT IS THE SERVICE PROBABILITY THAT THE HOSPITAL IS CURRENTLY DELIVERING?

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