Question

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

Answer 1

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.