Let X₁,X₂,...... ,X_k be a set of k continuous random variables.The function F(x₁,x₂,..... ,x_k)which defines the probability that simultaneously X₁

Question

Let X₁,X₂,...... ,X_k be a set of k continuous random variables.The function F(x₁,x₂,..... ,x_k)which defines the probability that simultaneously X₁ < x₁,X₂ < x₂ and so on is called a: A)marginal distribution function. B)marginal cumulative distribution function. C)joint cumulative distribution function. D)normal distribution function.

Quizplus · Accepted Answer

The function F(x₁, x₂, ..., x_k) that defines the probability that all k continuous random variables are less than their respective limit values (i.e., X₁ < x₁,X₂ < x₂, and so on) is called the joint cumulative distribution function. Therefore, option C is the correct answer. A marginal distribution function only considers one random variable at a time and calculates the probability distributions separately for each variable. A marginal cumulative distribution function is the cumulative distribution function computed from the marginal distribution function. A normal distribution function is a specific type of probability distribution.

Let X1,X2

Let X₁,X₂