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: Jobs 1 2 3 4 5 6 7 8 or more f(x) 0.05 0.07 0.11 0.13 0.12 0.17 0.15 0.12 0.08 We are considering purchasing a third machine. For each analysis that the machine performs, we profit $1600.

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Determine the daily expected value of the new machine.

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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:
+
Jobs
2
3
4
5
6.
7
8 or more
f(x)
0.05
0.07
0.11
0.13
0.12
0.17
0.15
0.12
0.08
We are considering purchasing a third machine. For each analysis that the machine performs, we profit
$1600.
Determine the DAILY expected value of the new machine. (DO NOT multiply by 365 to get the yearly).
Transcribed Image Text: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: + Jobs 2 3 4 5 6. 7 8 or more f(x) 0.05 0.07 0.11 0.13 0.12 0.17 0.15 0.12 0.08 We are considering purchasing a third machine. For each analysis that the machine performs, we profit $1600. Determine the DAILY expected value of the new machine. (DO NOT multiply by 365 to get the yearly).
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