Can you help me to solve the following 2 questions ?

Thanks very much !

Definition A random sequence x, is said to converge to x everywhere if for every 5, X (S) converges to x(5), i.e. lim x (5) = x({) for every 5. (Notation: x -> x e.) n->ooDefinition x is said to converge to x almost everywhere if the set of & such that lim x, (5) = x(5) has probability equal to one, i.e. n->o P 5 : lim x, (5) = x(5) =1 n->oo (Notation: x -> x, a.e., or almost surely or with probability 1)Xn ($) = e-an , 1.e. ea ", e-2a e-3a , ..., where a is given as fa(a) 1/- 1 2 a Is the following statement correct? lim Xn =0, everywhere.Problem 11 Xn(5) = e-an 1.e. e-a e-2a -3a ..., where a is given asf (a) 0 a (a) Is the following statement correct? lim Xn =0, everywhere. Explain your answer. (b) Is the following statement correct? lim Xn =0, almost everywhere. n-oo Explain your