# Thread: normalizing a probability distribution

1. ## normalizing a probability distribution

Given the probability distribution:

p (x) = ax^n ,0 ≤ x ≤1, for a positive integer n

What does it mean to normalize p(x) and how would I develop an expression for "a" that normalizes p(x)? Thank you in advance.

2. Originally Posted by carnot
Given the probability distribution:

p (x) = ax^n ,0 ≤ x ≤1, for a positive integer n

What does it mean to normalize p(x) and how would I develop an expression for "a" that normalizes p(x)? Thank you in advance.
Find the value of $\displaystyle a$ such that $\displaystyle \int_{0}^1 a x^n \, dx = 1$.

3. That's a Beta by the way.