= P(M|D)[P(D\M')(1¬P(M))+(1=P(D|M)P(M)| 1-p(M') a. P(DIM) | b. P(D) = P(D|M')(1 – P(M)) + (1- P(D'/M)P(M) )

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 84E: Explain the differences between Gaussian elimination and Gauss-Jordan elimination.
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The Ghana health service requested for a machine learning model to detect the presence of
a new disease based on symptoms present in a blood sample. You have been selected to be
part of the team responsible for the development of the model. Belo is a block diagram of
the system.
Inputs
Processing
Output
The accuracy in the output depends on the correct inputs. The model designed is supposed
to be evaluated to determine the accuracy and it is supposed to function in a supervised
way. Hence the data sets can affect the model and vice versa.
Given
P(Data|Model) = P(Model|Data)P(Data)
or P(D|M) =
P(M|D)P(D)
show that the
P(Model)
p(M)
following statements are true with a formal mathematical proof.
Show that
a. P(D|M) = P(M|D)IP(D|M')(1-P(M))+(1-P(D|M)P(M))]
1-p(M")
b. P(D) = P(D|M')(1– P(M)) + (1– P(D'/M)P(M))
Question 2 (50 marks) 300-500 words per discussion and avoid plagiarism.
From the question 1, given P(D|M) = P(MD)P(D) solve the following
a. Draw the probability tree for the situation.
p(M)
b. Draw the reverse tree for the situation.
c. Discuss the False Positive from the main tree
d. Discuss the True positive from the main tree
e. Discuss the False negative from the main tree
f. Discuss the True negative from the main tree.
Discuss the False Positive from the main reverse tree
Transcribed Image Text:The Ghana health service requested for a machine learning model to detect the presence of a new disease based on symptoms present in a blood sample. You have been selected to be part of the team responsible for the development of the model. Belo is a block diagram of the system. Inputs Processing Output The accuracy in the output depends on the correct inputs. The model designed is supposed to be evaluated to determine the accuracy and it is supposed to function in a supervised way. Hence the data sets can affect the model and vice versa. Given P(Data|Model) = P(Model|Data)P(Data) or P(D|M) = P(M|D)P(D) show that the P(Model) p(M) following statements are true with a formal mathematical proof. Show that a. P(D|M) = P(M|D)IP(D|M')(1-P(M))+(1-P(D|M)P(M))] 1-p(M") b. P(D) = P(D|M')(1– P(M)) + (1– P(D'/M)P(M)) Question 2 (50 marks) 300-500 words per discussion and avoid plagiarism. From the question 1, given P(D|M) = P(MD)P(D) solve the following a. Draw the probability tree for the situation. p(M) b. Draw the reverse tree for the situation. c. Discuss the False Positive from the main tree d. Discuss the True positive from the main tree e. Discuss the False negative from the main tree f. Discuss the True negative from the main tree. Discuss the False Positive from the main reverse tree
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