Astronomers treat the number of stars in a given volume of space as a Poisson random variable. The density in the Milky Way Galaxy inthe 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 =i0.080. [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.]

Given: No. of stars in a given volume is Poisson random variable.

Answered: (a) What is the probability of 3 or…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(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?