Solution Found!
Let X be N(0, 1). Find the pdf of Y =
Chapter 5, Problem 14E(choose chapter or problem)
QUESTION:
Problem 14E
Let X be N(0, 1). Find the pdf of Y = |X|, a distribution that is often called the half-normal. Hint: Here y ∈ Sy = {y : 0 < y < ∞}. Consider the two transformations x1 = −y,−∞ < x1 < 0, and x2 = y, 0 < y < ∞.
Questions & Answers
QUESTION:
Problem 14E
Let X be N(0, 1). Find the pdf of Y = |X|, a distribution that is often called the half-normal. Hint: Here y ∈ Sy = {y : 0 < y < ∞}. Consider the two transformations x1 = −y,−∞ < x1 < 0, and x2 = y, 0 < y < ∞.
ANSWER:
Step 1 of 4
Since X is, the p.d.f of X is: