Q1) Daily demand for PDAs at large electronics store is normally distributed with mean of 50 and standard deviation of 5. Replenishment lead time (i.e., time between placement and the receipt of order) is 4 days. Given this, compute the following probabilities for demand during lead time(DDLT).

i) P(Demand on any given day>= 60)

ii) P(Demand on any given day <=45)

iii) P(180≤DDLT≤210)

iv) p(DDLT =200)

v) How many PDAs do they require to stock for lead time of 4 days for service level of 90% (i.e., they are able to satisfy demand 90% of the time)?

vi) How many PDAs do they require to stock for lead time of 4 days for service level of 95% (i.e., they are able to satisfy demand 95% of the time)?