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An FBI survey shows that about 80% of all property crimes go unsolved. Suppose that in your town 5 such crimes are committed and they

An FBI survey shows that about 80% of all property crimes go unsolved. Suppose that in your town 5 such crimes are committed and they are each deemed independent of each other.

(a) What is the probability that 3 of these 5 crimes will be solved?

(b) What is the probability that at most two of the crimes will be solved?

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