Question 3 [6 marks] Let ( X7,),, be a sequence of random variables defined by P( X,, - n?) - 1 and P(X7 - 0) - 1- (1). (a) Show that Xn converges to 0 in probability. (3 marks) (b) Does E(X,,) converge or not? Why? If E( X,,) is convergent, find its limit