# 2 What is the probability of a stock out during lead time for the i

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2. What is the probability of a stock-out during lead time
for the injection molding department of a company that
uses 40 pounds of a powder a day? Reorder point is 240
pounds. Lead time averages five days. It is normally
distributed and has a standard deviation of two days.
(Points : 30)
Solution
Here, we want to know the probability that the test score
falls between 90 and 110. The \"trick\" to solving this
problem is to realize the following:
P( 90 < X < 110 ) = P( X < 110 ) - P( X < 90 )
We use the Normal Distribution Calculator to compute both
probabilities on the right side of the above equation.
We use these findings to compute our final answer as
follows:
P( 90 < X < 110 ) = P( X < 110 ) - P( X < 90 )
P( 90 < X < 110 ) = 0.84 - 0.16
P( 90 < X < 110 ) = 0.68
Thus, about 68% of the test scores will fall between 90 and
110.

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2. What is the probability of a stock -out during lead time for the injection molding department of a company that uses 40 pounds of a powder a day? Reorder point is 240 pounds. Lead time averages five days. It is normally distributed and has a standard deviation of two days. (Points : 30) Solution Here, we want to know the probability that the test score falls between 90 and 110. The \"trick\" to solving this problem is to realize the following: P( 90 < X < 110 ) = P( X < 110 ) - P( X < 90 ) We use the Normal Distribution Calculator to compute both probabilities on the right side of the abo ...
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Anonymous
Awesome! Perfect study aid.

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