Daily usage is exactly 60 gallons per day. Lead time is normally distributed with a mean of 10 days and a standard deviation of 2 days. What is the standard deviation of demand during lead time

Respuesta :

Answer:

The standard deviation of demand during lead time is 60*2

Step-by-step explanation:

Let us recall the following statements from the given question,

The daily usage is  =  60 gallons per day,

Then,

The total number of gallons that is used during the mean time lead  can be referred  to the demand mean amount:

The Mean demand amount = Daily usage x  Mean lead time

Mean demand amount = (60 gallons / day) x 10 days

Mean demand amount = 600 gallons

Since the standard deviation of the lead time is 2 days, the standard deviation of the demand should also be:

The Standard deviation of demand =  The Daily usage x Standard deviation of lead time

Standard deviation of demand = (60 gallons / day) x 2 days

Standard deviation of demand = 120 gallons

Or  60 times 2 or 60 x 2