Homework Statement
The number X is chosen at random between 0 and 1. Determine the probability density function of each of the random variables v=X/(1-X) and W=X(1-x).
Homework Equations
The Attempt at a Solution
The solution in the back of the book says "The random Variable V...
Cool thanks. Do you know how I would get the second part though. I know its got to be similar but in what step do i plug in the a. And why is it 1 over the answer rather than f(sqrt(W))? Thanks for the help
I did look at your method Legendre, and i think i just do the integral of f'(sqrt(y)), which by the chain rule gives me f(y)/(2sqrt(y)) which is the answer i need.
Homework Statement
A point Q is chosen at random inside the unit square. What is the density function of the sum of the coordinates of point Q? What is the density function of the product of the coordinates of the point Q? Use geometry to find these densities.
Homework Equations
P(a <...
A probability density function of a continuous random variable is a function that describes the relative likelihood for this random variable to occur at a given point in the observation space.
Homework Statement
Let X be a posative random variable with probability density function f(x). Define the random variable Y by Y = X^2. What is the probability density function of Y? Also, find the density function of the random variable W = V^2 if V is a number chosen at random from the...