ooks at an image consisting of two simple objects, O1 and O2, while linates of the focus of his gaze. When the subject looks at 0₁, the a racterised by a Gaussian probability density function 9₁ with mean robability density functiom g2 with mean 5 and variance 7 is used for ol bject looks at objects O₁ and O₂ are P(0₁) = 0.6 and P(O₂) = 0.4. late the posterior probability P(O₁|x = 1) nore probable that the subject was looking at object O₁ or O₂?

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Author:Amos Gilat
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Question 5
A subject looks at an image consisting of two simple objects, O₁ and O2, while an eye-tracker returns the
(x, y) coordinates of the focus of his gaze. When the subject looks at O₁, the a coordinate of the focus of
gaze is characterised by a Gaussian probability density function 9₁ with mean -5 and variance 5, while a
Gaussian probability density functiom 92 with mean 5 and variance 7 is used for object O₂. The probabilities
that the subject looks at objects O₁ and O₂ are P(O₁) = 0.6 and P(O2₂) = 0.4.
1. Calculate the posterior probability P(0₁|x = 1)
2. Is it more probable that the subject was looking at object O₁ or O₂?
Transcribed Image Text:Question 5 A subject looks at an image consisting of two simple objects, O₁ and O2, while an eye-tracker returns the (x, y) coordinates of the focus of his gaze. When the subject looks at O₁, the a coordinate of the focus of gaze is characterised by a Gaussian probability density function 9₁ with mean -5 and variance 5, while a Gaussian probability density functiom 92 with mean 5 and variance 7 is used for object O₂. The probabilities that the subject looks at objects O₁ and O₂ are P(O₁) = 0.6 and P(O2₂) = 0.4. 1. Calculate the posterior probability P(0₁|x = 1) 2. Is it more probable that the subject was looking at object O₁ or O₂?
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