Question

Is it generally true that if the support of (X,Y) is a triangle, then X and...

Is it generally true that if the support of (X,Y) is a triangle, then X and Y are dependent random variables?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Generally, Yes.

Since the support of the random variables is triangle, that means support of Y depends on X and vice versa. So the conditional distribution of Y will depend on X and vice versa. If conditional distribution depends on other random variable, it can’t be independent.

That’s why generally we have dependency in case of triangular support.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let X and Y have the joint pdf f(x,y) = 6*(x^2)*y for 0 <= x <=...
Let X and Y have the joint pdf f(x,y) = 6*(x^2)*y for 0 <= x <= y and x + y <= 2. What is the marginal pdf of X and Y? What is P(Y < 1.1 | X = 0.6)? Are X and Y dependent random variables?
Consider continuous random variables X and Y whose joint pdf is f(x, y) = 1 with...
Consider continuous random variables X and Y whose joint pdf is f(x, y) = 1 with 0 < y < 1 − |x|. Show that Cov(X, Y ) = 0 even though X and Y are dependent. Note: For this problem, you only need to show that the covariance is zero. You need not show that X and Y are dependent.
Consider continuous random variables X and Y whose joint pdf is f(x, y) = 1 with...
Consider continuous random variables X and Y whose joint pdf is f(x, y) = 1 with 0 < y <1 – abs(x). Show that Cov(X, Y ) = 0 even though X and Y are dependent. Note: For this problem, you only need to show that the covariance is zero. You need not show that X and Y are dependent.
1) Suppose that X and Y are two random variables, which may be dependent and Var(X)=Var(Y)....
1) Suppose that X and Y are two random variables, which may be dependent and Var(X)=Var(Y). Assume that 0<Var(X+Y)<∞ and 0<Var(X-Y)<∞. Which of the following statements are NOT true? (There may be more than one correct answer) a. E(XY) = E(X)E(Y) b. E(X/Y) = E(X)/E(Y) c. (X+Y) and (X-Y) are correlated d. (X+Y) and (X-Y) are not correlated. 2) S.D(X ± Y) is equal to, where S.D means standard deviation a. S.D(X) ± S.D(Y) b. Var(X) ± Var(Y) c. Square...
double integral f(x,y)dA. f(x,y) = cos(x) +sin(y). D is the triangle with vertices (-1,-2), (1,0) and...
double integral f(x,y)dA. f(x,y) = cos(x) +sin(y). D is the triangle with vertices (-1,-2), (1,0) and (-1,2). You might notice cos(x) is an even function, sin(y) is an odd function.
The random variables, X and Y , have the joint pmf f(x,y)=c(x+2y), x=1,2 y=1,2 and zero...
The random variables, X and Y , have the joint pmf f(x,y)=c(x+2y), x=1,2 y=1,2 and zero otherwise. 1. Find the constant, c, such that f(x,y) is a valid pmf. 2. Find the marginal distributions for X and Y . 3. Find the marginal means for both random variables. 4. Find the marginal variances for both random variables. 5. Find the correlation of X and Y . 6. Are the two variables independent? Justify.
1) Probability assumes you know the sample statistics. TRUE/FALSE 2) Let the support of X contain...
1) Probability assumes you know the sample statistics. TRUE/FALSE 2) Let the support of X contain the values {-1,1}. Let the support of Y contain the values {-1000,1000}. True or false: the expectation of X equals the expectation of Y. For both X and Y assume the probabilities for both events are equal. P(X=-1) = 0.5, P(X=1) = 0.5, P(Y=-1000) = 0.5, P(Y=-1000) = 0.5 3)Let the support of X contain the values {-1,1}. Let the support of Y contain...
In triangle EFG and triangle YXZ, m<F=m<X and m<E=m<Y. if m<E=62 degrees and m<X=80 degrees, what...
In triangle EFG and triangle YXZ, m<F=m<X and m<E=m<Y. if m<E=62 degrees and m<X=80 degrees, what is the measure of <Z?
Reflect triangle (2,4),(4,6),(2,6) about line y=(x+4)?
Reflect triangle (2,4),(4,6),(2,6) about line y=(x+4)?
X and Y are independent random variables. The mean and variance of X are 2 and...
X and Y are independent random variables. The mean and variance of X are 2 and 1 respectively. The mean and variance of Y are 3 and 2 respectively. Which of the statements below about the random variable X-Y is true? a. X-Y~Normal(-1,1) b. X-Y~Normal(1,3) c. X-Y has mean -1 and variance 3. d. X-Y has mean 5 and variance 3.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT