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Let x be a real number randomly chosen so that -1 <= x <= 1. What is the probability that x^2 > 1/2

 Aug 13, 2021
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x^2 > 1/2

x >  sqrt (1/2)     x < sqrt 1/2

 

sqrt .5 = .707  

 

from  .707 to 1     and from  -1 to -.707     is a total of .58579   out of a span of  2    = .293          29.3 %

 Aug 13, 2021
edited by ElectricPavlov  Aug 13, 2021

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