Please solve the following problem

by Stat_learner12   Last Updated June 12, 2019 07:19 AM - source

Need not to solve the whole question just tell me how to proceed Un will follow cauchy distribution since ratio of standard normal is cauchy.Please specify the parameters I am confused. Vn is chi squared distribution with n degrees of freedom Un/Vn converges in distribution to u/v when Un converges in distribution to U and Vn converges in probability to V Here my question is 1) parameters of Un which is a cauchy diatribution 2) Vn converges in probability to what?? enter image description here

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