percentile of the distribution of a continuous random variable

Question

Could you explain to me how can we find percentile of the distribution of a continuous random variable since I search on internet but I did not find ?
Thanks in advance

Answer 1

In general, for the continuous random variable X, the nth percentile is that value of the random variable such that the area under the curve (from the extreme left) equals n%.

 

That is, the entire area is 1.00, and the 50th percentile is the value of X that yields area 0.50.  The 90th percentile is associated with area 0.90, and this would be some larger value of X than for the 50th percentile.