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sergey [27]
3 years ago
7

A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a month. The average demand for carpet

from the stores that purchase from the distributor is 4,500 yards per month, with a standard deviation of 900 yards. What is the probability that a customer’s order will not be met during a month? (This situation is referred to as a stockout.)
Mathematics
1 answer:
Bond [772]3 years ago
7 0

Answer:

The probability that a customer’s order will not be met during a month is 1.67.

Step-by-step explanation:

Given : A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a month. The average demand for carpet from the stores that purchase from the distributor is 4,500 yards per month, with a standard deviation of 900 yards.

To find : What is the probability that a customer’s order will not be met during a month?

Solution :

Average Mean \mu=4500

Sample Mean x=6000

Standard deviation \sigma=900

The formula is given by,

Z=\frac{x-\mu}{\sigma}

Substitute the value in the formula,

Z=\frac{6000-4500}{900}

Z=\frac{1500}{900}

Z=1.67

The probability that a customer’s order will not be met during a month is 1.67.

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