4. 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 first.) Jobs 1 2 4 5 6 8 or more f(x) 0.02 0.06 0.09 0.12 0.15 0.18 0.16 0.09 0.13 We are considering purchasing a third machine. For each analysis that the machine performs, we profit $1500. What is the yearly expected value of this new machine? (Assume 365 days per year - no weekends or holidays.)

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Author:Amos Gilat
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A) Determine the daily expected value of the new machine. B) Determine the yearly value of the new machine.
4. 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 first.)
Jobs
1
2
3
4
5
6
7
8 or more
f(x)
0.02
0.06
0.09
0.12
0.15
0.18
0.16
0.09
0.13
We are considering purchasing a third machine. For each analysis that the machine performs, we profit $1500. What
is the yearly expected value of this new machine? (Assume 365 days per year- no weekends or holidays.)
Transcribed Image Text:4. 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 first.) Jobs 1 2 3 4 5 6 7 8 or more f(x) 0.02 0.06 0.09 0.12 0.15 0.18 0.16 0.09 0.13 We are considering purchasing a third machine. For each analysis that the machine performs, we profit $1500. What is the yearly expected value of this new machine? (Assume 365 days per year- no weekends or holidays.)
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