In a two-bin inventory system, the demand for three-inchlag bolts during the 2-week lead time is normally distributed,with an average of 53 units per week. The standard deviationof weekly demand is 5 units.a. What is the probability of demand exceeding the reorder pointwhen the normal level in the second bin is set at 130 units?b. What is the probability of demand exceeding the 130 unitsin the second bin if it takes 3 weeks to receive a replenish-ment order?

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In a two-bin inventory system, the demand for three-inch
lag bolts during the 2-week lead time is normally distributed,
with an average of 53 units per week. The standard deviation
of weekly demand is 5 units.
a. What is the probability of demand exceeding the reorder point
when the normal level in the second bin is set at 130 units?
b. What is the probability of demand exceeding the 130 units
in the second bin if it takes 3 weeks to receive a replenish-
ment order?

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