Using the information above, compute the probability that a random picture we found from the internet is a cat given that the AI model classifies it as containing a cat.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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6.
You are using an AI to determine if an image contains a cat or not. Suppose the probability
that a random picture contains a cat is known to be 6%. Before using the AI to classify pictures,
you test the AI on a data set containing 5000 images that have been previously been classified by an
expert cat photo identifier. Exactly 1000 of your test images do not contain a cat and the remaining
images do in fact depict a cat. Your AI correctly identifies 800 of the images that do not contain a
cat and 3600 of the images that do contain a cat.
Using the information above, compute the probability that a random picture we found from the
internet is a cat given that the AI model classifies it as containing a cat.
You can leave your final answer as a probability with four digits.
Transcribed Image Text:6. You are using an AI to determine if an image contains a cat or not. Suppose the probability that a random picture contains a cat is known to be 6%. Before using the AI to classify pictures, you test the AI on a data set containing 5000 images that have been previously been classified by an expert cat photo identifier. Exactly 1000 of your test images do not contain a cat and the remaining images do in fact depict a cat. Your AI correctly identifies 800 of the images that do not contain a cat and 3600 of the images that do contain a cat. Using the information above, compute the probability that a random picture we found from the internet is a cat given that the AI model classifies it as containing a cat. You can leave your final answer as a probability with four digits.
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