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X1,X2, . . . is a sequence of iid Bernoulli (1/2) random variables. Consider the random...

X1,X2, . . . is a sequence of iid
Bernoulli (1/2) random variables. Consider
the random sequence Y_n = X_1 +· · ·+X_n.
(a) What is limn→∞ P[|Y_2n − n| ≤ (n/2)^1/2?
(b) What does the weak law of large numbers
say about Y2n?

Could I get a little clarification with this problem?

Math   Statistics-And-Probability   
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