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8. Suppose that our company performs DNA analysis for a law enforcement agency. We currently have one machine that is essential to performing the analysis. When an analysis is performed, the machine is in use for a third of the day. Thus, each machine can perform at most three DNA analyses per day. Based on past experience, the distribution of the random number of analyses needing to be performed on any given day are as follows: Jobs 0 1 f(x) .05 .08 .11 2 3 4 5 6 7 or more ✗ .17 A B .23 .18. .11 C Ꭰ E .07 F We are considering purchasing a second machine. Each DNA analysis that the machine performs earns us a profit of $1200. Let the random variable X represent the amountof profit earned by the new machine in a given day. (Assume we get jobs 365 days per year no weekends or holidays.) (a) What value goes in box A? (b) What value goes in box B? (c) What value goes in box C? (d) What value goes in box D? (e) What value goes in box E? (f) What value goes in box F? (g) What is the daily expected value of the profit earned from this second machine? (2 DECIMAL PLACES) (h) What is the yearly expected value of the profit earned from this second machine? (2 DECIMAL PLACES)

8. Suppose that our company performs DNA analysis for a law enforcement agency. We currently have one machine that is essential to performing the analysis. When an analysis is performed, the machine is in use for a third of the day. Thus, each machine can perform at most three DNA analyses per day. Based on past experience, the distribution of the random number of analyses needing to be performed on any given day are as follows: Jobs 0 1 f(x) .05 .08 .11 2 3 4 5 6 7 or more ✗ .17 A B .23 .18. .11 C Ꭰ E .07 F We are considering purchasing a second machine. Each DNA analysis that the machine performs earns us a profit of $1200. Let the random variable X represent the amountof profit earned by the new machine in a given day. (Assume we get jobs 365 days per year no weekends or holidays.) (a) What value goes in box A? (b) What value goes in box B? (c) What value goes in box C? (d) What value goes in box D? (e) What value goes in box E? (f) What value goes in box F? (g) What is the daily expected value of the profit earned from this second machine? (2 DECIMAL PLACES) (h) What is the yearly expected value of the profit earned from this second machine? (2 DECIMAL PLACES)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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8. Suppose that our company performs DNA analysis for a law enforcement agency. We currently have one machine that is essential to performing the analysis. When an analysis is performed, the machine is in use for a third of the day. Thus, each machine can perform at most three DNA analyses per day. Based on past experience, the distribution of the random number of analyses needing to be performed on any given day are as follows: Jobs 0 1 f(x) .05 .08 .11 2 3 4 5 6 7 or more ✗ .17 A B .23 .18. .11 C Ꭰ E .07 F We are considering purchasing a second machine. Each DNA analysis that the machine performs earns us a profit of $1200. Let the random variable X represent the amountof profit earned by the new machine in a given day. (Assume we get jobs 365 days per year no weekends or holidays.) (a) What value goes in box A? (b) What value goes in box B? (c) What value goes in box C? (d) What value goes in box D? (e) What value goes in box E? (f) What value goes in box F? (g) What is the daily expected value of the profit earned from this second machine? (2 DECIMAL PLACES) (h) What is the yearly expected value of the profit earned from this second machine? (2 DECIMAL PLACES)
Transcribed Image Text:8. Suppose that our company performs DNA analysis for a law enforcement agency. We currently have one machine that is essential to performing the analysis. When an analysis is performed, the machine is in use for a third of the day. Thus, each machine can perform at most three DNA analyses per day. Based on past experience, the distribution of the random number of analyses needing to be performed on any given day are as follows: Jobs 0 1 f(x) .05 .08 .11 2 3 4 5 6 7 or more ✗ .17 A B .23 .18. .11 C Ꭰ E .07 F We are considering purchasing a second machine. Each DNA analysis that the machine performs earns us a profit of $1200. Let the random variable X represent the amountof profit earned by the new machine in a given day. (Assume we get jobs 365 days per year no weekends or holidays.) (a) What value goes in box A? (b) What value goes in box B? (c) What value goes in box C? (d) What value goes in box D? (e) What value goes in box E? (f) What value goes in box F? (g) What is the daily expected value of the profit earned from this second machine? (2 DECIMAL PLACES) (h) What is the yearly expected value of the profit earned from this second machine? (2 DECIMAL PLACES)
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