Consider making an inference about p1 - p2, where there are x1 successes in n1 binomial trials

Question:

Consider making an inference about p1 - p2, where there are x1 successes in n1 binomial trials and x2 successes in n2 binomial trials.
a. Describe the distributions of x1 and x2.
b. Explain why the Central Limit Theorem is important in finding an approximate for (p̂1 - p̂2).
Distribution
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