Part I: Probability For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, you should write C(4,2)/24 instead of 0.375. 6. In machine learning, "the task of identifying what an image represents is called image classification" Suppose that an image classification model is trained to recognize images of cats. This model classifies 95% of cat images correctly (that is, it classifies them as cats) and 70% of non-cat images correctly (that is, it classifies them as not cats). Assume that the probability of an image being a cat is 40%. 6.1 What is the probability that an image is a cat if the model classifies it as a cat? 6.2 What is the probability that an image is a cat if the model classifies it as not a cat? 6.3 What is the probability that an image is not a cat if the model classifies it as a cat? 6.4 What is the probability that an image is not a cat if the model classifies it as not a cat?

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Part I: Probability
For each of the following problems, you should write your answer as an expression. Do not
give the final numeric value. For example, you should write C(4,2)/24 instead of 0.375.
6.
In machine learning, "the task of identifying what an image represents is
called image classification"
Suppose that an image classification model is trained to recognize images of cats. This
model classifies 95% of cat images correctly (that is, it classifies them as cats) and 70% of
non-cat images correctly (that is, it classifies them as not cats). Assume that the
probability of an image being a cat is 40%.
6.1 What is the probability that an image is a cat if the model classifies it as a cat?
6.2 What is the probability that an image is a cat if the model classifies it as not a cat?
6.3 What is the probability that an image is not a cat if the model classifies it as a cat?
6.4 What is the probability that an image is not a cat if the model classifies it as not a cat?
Transcribed Image Text:Part I: Probability For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, you should write C(4,2)/24 instead of 0.375. 6. In machine learning, "the task of identifying what an image represents is called image classification" Suppose that an image classification model is trained to recognize images of cats. This model classifies 95% of cat images correctly (that is, it classifies them as cats) and 70% of non-cat images correctly (that is, it classifies them as not cats). Assume that the probability of an image being a cat is 40%. 6.1 What is the probability that an image is a cat if the model classifies it as a cat? 6.2 What is the probability that an image is a cat if the model classifies it as not a cat? 6.3 What is the probability that an image is not a cat if the model classifies it as a cat? 6.4 What is the probability that an image is not a cat if the model classifies it as not a cat?
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