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A real number x is chosen at random such that -2 < x < 5. What is the probability that x2 < 2? 

 Sep 3, 2018
edited by MrCreative  Sep 3, 2018
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A real number x is chosen at random such that -2 < x < 5. What is the probability that x^2 < 2? 

 

if x^2 <2

then

\(-\sqrt2

 

The distance between these is  \(2\sqrt2\)

 

The distance between -2 and 5 is 7

 

so

 

The prob will be   \(\frac{2\sqrt2}{7}\)

.
 Sep 4, 2018

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