Problem Set 1 Due on Friday, February 2nd, 5pmInstructions:•You must write up your solutions individually.•You may have high-level discussions with up to 2 other students registered in the course. If you discuss problems with others, include at the top of your submission: their names, V#’s, and the problems discussed.•Your solutions should be clear and concise (and legible!). You are strongly encouraged to type up your solutions in LaTeX. For any problems where you only have a partial solution, be clear about any parts of your solution for which you have low confidence.•If submitted through conneX, the due date is Friday, February 2nd, 7pm. This is a hard deadline. If submitted in writing, submit at the beginning of class (12:30pm) Friday February 2nd. You are thus incentivized to submit online (using LaTeX) as you get more time!Questions:1.Let X=R2and take Cto be the class of concentric circles C={cr:r≥0}, where for each nonnegative real number r≥0, we have cr(x) =1[kxk2≤r]. Prove that Cis PAC learnable.

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