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# Probability :) ?

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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   $$\frac{2\sqrt2}{7}$$

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Sep 4, 2018