Question

Median of X~Par(2) is equal to sqrt(2)

True or False

please provide work

Answer 1

Correct option:

True

EXPLANATION:

Probability Density Function of Pareto Distribution is given by:

,'          

                         for x 1

Given:

a = 2

So,

we get:

The Median is got by integrating f(x) from 1 to x and equating to 0.5 as follows:

i.e.,

between the limits 1 to x.

Applying limits, we get:

So,

we get:

x =