A Lawn and Garden Shop That Is Open for Business

question 33

Short Answer

A lawn and garden shop that is open for business seven days a week orders bags of grass seed every OTHER Monday. Lead time for seed orders is 5 days. On Monday, at ordering time, a clerk found 112 bags of seed in stock, and so he ordered 198 bags. Daily demand for grass seed is normally distributed with a mean of 15 bags and a standard deviation of four bags.
The manager would like to know what the probability is that a grass seed stockout will occur before the next order arrives.

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Definitions:

Congruence

The state or condition of being in agreement or harmony, often used in mathematics to describe figures that are identical in shape and size, and in psychology, it refers to the alignment between an individual's self-concept and reality.

Real Self

An individual's authentic self-concept free of societal influences and expectations, reflecting true personal interests, values, and desires.

Ideal Self

An individual's conception of themselves in their highest possible state of being or achievement, often contrasted with their real self.

Guided

Instructed or directed by someone with more experience or knowledge in a particular area.