Suppose that our company performs DNA analysis for a law enf

Suppose that our company performs DNA analysis for a law enforcement agency. We currently have two machines that are essential to performing the analysis. When an analysis is performed, the machine is in use for half of the day. Thus, each machine can perform at most TWO DNA analyses per day. Based on past experience, the distribution of analyses needing to be performed on any given day are as follows: (Fill in the table)

Jobs

0

1

   2

   3

   4

   5

   6

7 or more

f(x)

.03

.11

.14

.16

.25

.19

.07

.05

We are considering purchasing a third machine. For each analysis that the machine performs, we profit $1300. What is the yearly value of this new machine? (Assume 365 days per year- no weekends or holidays.)

Solution