Meteoroids. In the article “Interstellar Pelting” (Scientific American, Vol. 288, No. 5, pp. 28–30), G. Musser explained that information on extrasolar planets can be discerned from foreign material and dust found in our solar system. Studies show that 1 in every 100 meteoroids entering Earth’s atmosphere is actually alien matter from outside our solar system. a. Of 300 meteoroids entering the Earth’s atmosphere, how many would you expect to be alien matter from outside our solar system? Justify your answer. b. Apply the Poisson approximation to the binomial distribution to determine the probability that, of 300 meteoroids entering the Earth’s atmosphere, between 2 and 4, inclusive, are alien matter from outside our solar system. c. Apply the Poisson approximation to the binomial distribution to determine the probability that, of 300 meteoroids entering the Earth’s atmosphere, at least 1 is alien matter from outside our solar system.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Meteoroids. In the article “Interstellar Pelting” (Scientific American, Vol. 288, No. 5, pp. 28–30), G. Musser explained that information on extrasolar planets can be discerned from foreign material and dust found in our solar system. Studies show that 1 in every 100 meteoroids entering Earth’s atmosphere is actually alien matter from outside our solar system.
a. Of 300 meteoroids entering the Earth’s atmosphere, how many would you expect to be alien matter from outside our solar system? Justify your answer.
b. Apply the Poisson approximation to the binomial distribution to determine the
c. Apply the Poisson approximation to the binomial distribution to determine the probability that, of 300 meteoroids entering the Earth’s atmosphere, at least 1 is alien matter from outside our solar system.
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