during the semester the library has 12 laptops available for

during the semester, the library has 12 laptops available for checkout. people arrive to check out a computer once every 0.5 days, with a standard deviation of 1 day; they keep the computers out for an average of 4.5 days, with a standard deviation of 2.5 days. if no computer is available for checkout, the student will be put on a waiting list and will check out a computer once one becomes avaliable.

a) on average, how many computers are available for checkout? (Please show all work)

b) on average how long will a student wait on the waiting list before checking out a computer? (Please show all work)

c) on average, how many students are on the waiting list? (Please show all work)

Solution

a)

average = 12*4.5 = 54

b)

average = 12*0.5 = 6

c)

average = 1 / (4.5-0.5) = 0.25