Please answer the following question with steps, don't copy answers from other sources, thank you!

Problem 1 (20p). In an election between two candidates, A and B, one million individuals cast their vote. Among these, 2000 know candidate A from her election campaign and vote unanimously for her. The remaining 998000 voters are undecided and make their decision independently of each other by flipping a fair coin. Approximate the probability pa that candidate A wins up to 3 significant figures. Edit: use the Central Limit Theorem to make the approximation