Astronomers treat the number of stars in a given volume of space as a Poisson random variable. The density in the Milky Way Galaxy in the vicinity of our solar system is 1 star per 16 cubic light...


Astronomers treat the number of stars in a given volume of space as a Poisson random variable. The density in the Milky Way Galaxy in<br>the vicinity of our solar system is 1 star per 16 cubic light years.<br>(a) What is the probability of 3 or more stars in 16 cubic light years?<br>Probability =i<br>0.080<br>. [Round your answer to three decimal places (e.g. 98.765).]<br>(b) How many cubic light years of space must be studied so that the probability of 1 or more stars exceeds 0.94?<br>cubic light years of space. [Round your answer to the nearest integer.]<br>

Extracted text: Astronomers treat the number of stars in a given volume of space as a Poisson random variable. The density in the Milky Way Galaxy in the vicinity of our solar system is 1 star per 16 cubic light years. (a) What is the probability of 3 or more stars in 16 cubic light years? Probability =i 0.080 . [Round your answer to three decimal places (e.g. 98.765).] (b) How many cubic light years of space must be studied so that the probability of 1 or more stars exceeds 0.94? cubic light years of space. [Round your answer to the nearest integer.]

Jun 10, 2022
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