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 4 or more stars in 16 cubic light years? Probability = .[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 0.92? cubic light years of space. [Round your answer to the nearest integer.] Statistical Tables and Charts

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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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 4 or more stars in 16 cubic light years?
Probability =
.[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 0.92?
cubic light years of space. [Round your answer to the nearest integer.]
Statistical Tables and Charts
Transcribed Image 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 4 or more stars in 16 cubic light years? Probability = .[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 0.92? cubic light years of space. [Round your answer to the nearest integer.] Statistical Tables and Charts
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