In a very large population, suppose 1% of people have cancer. Let a sample of 1200 people be randomly selected and let X= The number of people who have cancer in the sample.

Let the proportion of people with cancer to the total population be an unknown value that is equal to , and let n people be selected at random where n is very large.

Use the Central Limit Theorem to approximate the following probability:

P(nX1.2816n(1)nX+1.2816n(1))

Please do not use continuity correction either.