![3: MLE and MAP estimates (SEng 474: 10 points; CSc 578D: 15 points) a) Let θ = P(X=T). Calculate the MLE for θ for the following dataset by finding the maximum of PDI θ). Show your work. [4 marks] D-{T, T,T,T, T, T, T, F,F, Fy b) Recall the PDF for a Beta random variable is proportional to Q3l-) *(1- 0)(821) (2-1) with parameters β1 and β2. Lets say you have evidence from previous studies that P(X=T) = ½. Let β 1 4. Find β2 and then calculate the MAP estimate P(J 1 D) for θ with a Beta(β1 , β2) prior and the dataset above. Show your work. [6 marks]](http://d2vlcm61l7u1fs.cloudfront.net/media%2F4d4%2F4d45fe98-4066-4a4c-bf09-8660688f0e0d%2FphpuqT1aG.png)
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(Solved) : 3 Mle Map Estimates Seng 474 10 Points Csc 578d 15 Points Let P X T Calculate Mle Followi Q26306225 . . . .
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