Read the statement ofLeCam's Theorem. It is about the Poisson approximation to thePoisson-binomialdistribution. That's the distribution of the sum of independent indicators that need not be identically distributed.

First explain why the binomial distribution is a special case of the Poisson binomial distribution.

Then figure out how LeCam's theorem applies to the approximation you are studying in this lab, and hence find LeCam's upper bound on the TVD between the binomial(n, 1/n), distribution and its Poisson(1)approximation.

You just have to apply the theorem carefully. Think about what thepi's have to be, and be careful about factors of 2.