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

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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United For a Fair Economy, soc 300 wk 3 crt, business and finance homework help

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