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(See Solution) Suppose that 2.84percent of the adult population in this country is allergic to the flu vaccine. Select 10 adults at random. Hint: note there are

Question: Suppose that 2.84percent of the adult population in this country is allergic to the flu vaccine. Select 10 adults at random. Hint: note there are only two outcomes: a person is either allergic or not allergic. What kind of probability distribution is this?

A) Find the probability that none of the adults selected will be allergic to the flu vaccine.
B) Find the probability that exactly 4 adults will be allergic to the flu vaccine.
C) Find the probability that at least one adult will be allergic to the flu vaccine(hint use the result in part (a))
D) Find the mean of X, the number of adults allergic to the flu vaccine.
E) Find the standard deviation of X, the number of adults allergic to the flu vaccine.

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