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Several recent studies have shown that roughly one in every 95 meteoroids entering the Earth's atmosphere is alien matter from outside our solar system. (a)

Several recent studies have shown that roughly one in every 95 meteoroids entering the Earth's atmosphere is alien matter from outside our solar system.

(a) Of the next 250 meteoroids entering the Earth's atmosphere, how many would you expect to be alien matter from outside our solar system?

(b) Calculate the probability that, of the next 250 meteoroids entering the Earth's atmosphere, two or three meteoroids are alien matter from outside our solar system.

(c) Calculate the probability that, of the next 250 meteoroids entering the Earth's atmosphere, at least two meteoroids are alien matter from outside our solar system.

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