Problem 8. Let X; + :|:1 with equal probability. Then the 1:!- are zero mean and have unit variance. Put \"H. Xi Y\" = Z . i=1 Derive the central limit theorem for this case, i.e., show that qbyn (t) > 8_t2/2. Hint: Use the Taylor series approximation c0s(33) m 1 m2 / 2