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Hello, I am having trouble solving a problem from chapter 6 part II from Understandable Statistics 12E by Brase & Brase. This part is on

Hello,

I am having trouble solving a problem from chapter 6 part II from Understandable Statistics 12E by Brase & Brase. This part is on sampling distributions and the normal approximation to binomlial distribution. I believe this involves the central limit theorem but I don't seem to be applying it correctly.

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