Question

Let Y ∼ N(μ, σ^2), and let W = Y^2. Which method can we use to find the distribution of W?

A) Both methods will work, but they will give us different answers.
B) Both methods will work and they will give the same answer.
C) Method of Distribution Functions only.
D) Method of Transformations only.

Answer 1

The Method of Transformations can be used to find the distribution of W = Y^2 by substituting Y with its distribution function and simplifying the expression.

Step-by-step explanation:

To find the distribution of W, which is equal to Y^2, we can use the Method of Transformations.

This method involves finding the transformation function and then applying it to the original distribution.

In this case, the transformation function is W = Y^2.

We can substitute Y with its distribution function, which is Y ∼ N(μ, σ^2), to get W = (N(μ, σ^2))^2.

Simplifying this expression will give us the distribution of W.