statistics

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A fast food chain claims that all of its quick win soda cups are winners. (There is a little tab you pull off the side of the cup which says either you are a winner or not. Lisa bought 8 sodas to try her luck.
What is the probability that at least 5cups were winners?
What is the probability that between 3 and 6 of the cups 9inclusive) were winners.
What is the probability that at most three cups were winners?
Is reasonable to approximate the distribution using a normal curve? Why or why not?

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