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Suppose that there is a 1.7% chance a planet will develop life, a 2.8% chance that the life will evolve into complex organisms, a 5.5% chance that complex organisms develop into advanced civilizations, and an X% chance that the advanced civilizations become intergalactic. If there are 2,848,343 planets, and we observe only 1 intergalactic civilization, what is the expected value of X? Note that X is in percentage form (e.g. 30.51 not 0.3051). You can round to two decimal places, but do not round until your final answer!

Suppose that there is a 1.7% chance a planet will develop life, a 2.8% chance that the life will evolve into complex organisms, a 5.5% chance that complex organisms develop into advanced civilizations, and an X% chance that the advanced civilizations become intergalactic. If there are 2,848,343 planets, and we observe only 1 intergalactic civilization, what is the expected value of X? Note that X is in percentage form (e.g. 30.51 not 0.3051). You can round to two decimal places, but do not round until your final answer!

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Suppose that there is a 1.7% chance a planet will develop life, a 2.8% chance that the life will evolve into complex organisms, a 5.5% chance that complex organisms develop into advanced civilizations, and an X% chance that the advanced civilizations become intergalactic. If there are 2,848,343 planets, and we observe only 1 intergalactic civilization, what is the expected value of X? Note that X is in percentage form (e.g. 30.51 not 0.3051). You can round to two decimal places, but do not round until your final answer!
Transcribed Image Text:Suppose that there is a 1.7% chance a planet will develop life, a 2.8% chance that the life will evolve into complex organisms, a 5.5% chance that complex organisms develop into advanced civilizations, and an X% chance that the advanced civilizations become intergalactic. If there are 2,848,343 planets, and we observe only 1 intergalactic civilization, what is the expected value of X? Note that X is in percentage form (e.g. 30.51 not 0.3051). You can round to two decimal places, but do not round until your final answer!
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