101k views
0 votes
the random vector (x , y ) is said to be uniformly distributed over a region r in the plane if, for some constant c, its joint density is

User Blackessej
by
8.7k points

1 Answer

2 votes

Final answer:

A random vector (x, y) is said to be uniformly distributed over a region R in the plane if its joint density is constant over R. The PDF for a uniform distribution is f(x) = 1 / (b - a) for a < x < b.

Step-by-step explanation:

In statistics, a random vector (x, y) is said to be uniformly distributed over a region R in the plane if, for some constant c, its joint density is constant over R, and zero elsewhere. This is known as a uniform distribution, which is a continuous random variable with equally likely outcomes over a given interval. The probability density function (PDF) for a uniform distribution is represented as f(x) = 1 / (b - a) for a < x < b, where a and b are the lower and upper limits of the interval, respectively.

User James Vickers
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.