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 [tex]\mu=4500[/tex]
Sample Mean [tex]x=6000[/tex]
Standard deviation [tex]\sigma=900[/tex]
The formula is given by,
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
Substitute the value in the formula,
[tex]Z=\frac{6000-4500}{900}[/tex]
[tex]Z=\frac{1500}{900}[/tex]
[tex]Z=1.67[/tex]
The probability that a customer’s order will not be met during a month is 1.67.
