Question 30 Suppose that there is a 1.1% chance a planet will develop life, a 2.2% chance that the life will evolve into complex organisms, a 7.3% chance that complex organisms develop into advanced civilizations, and an X% chance that the advanced civilizations become intergalactic. If there are 2,986,588 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!

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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Question 30
Suppose that there is a 1.1% chance a planet will develop life, a 2.2% chance that the
life will evolve into complex organisms, a 7.3% chance that complex organisms develop
into advanced civilizations, and an X% chance that the advanced civilizations become
intergalactic.
If there are 2,986,588 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:Question 30 Suppose that there is a 1.1% chance a planet will develop life, a 2.2% chance that the life will evolve into complex organisms, a 7.3% chance that complex organisms develop into advanced civilizations, and an X% chance that the advanced civilizations become intergalactic. If there are 2,986,588 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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