A real number x is chosen at random such that -2 < x < 5. What is the probability that x2 < 2?
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 \(\frac{2\sqrt2}{7}\)