Question

Random variables X and Y assume values 1, 2 and 3. Their joint probability distribution is...

Random variables X and Y assume values 1, 2 and 3.
Their joint probability distribution is given as follows:
P(X=Y=1) = min( 0.32, 0.5 ) ,
P(X=Y=2) = min( 0.18, 0.18 ) and  
P(X=Y=3) = min( 0.5 0.32, ), ....
Their marginal probability distributions are as follows:
P(X=1) = 0.32, P(Y=1) = 0.5,   
P(X=2) = 0.18, P(Y=2) = 0.18,
P(X=3) = 0.5 and P(Y=3) = 0.32,   
Calculate the variance of the sum (X + Y).

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Random variables X and Y assume values 1, 2 and 3. Their joint probability distribution is...
Random variables X and Y assume values 1, 2 and 3. Their joint probability distribution is given as follows: P(X=Y=1) = min( 0.39, 0.19 ) , P(X=Y=2) = min( 0.19, 0.42 ) and   P(X=Y=3) = min( 0.42 0.39, ), .... Their marginal probability distributions are as follows: P(X=1) = 0.39, P(Y=1) = 0.19,    P(X=2) = 0.19, P(Y=2) = 0.42, P(X=3) = 0.42 and PY=3) = 0.39,    Calculate the variance of the sum (X + Y)
The joint probability distribution of two random variables X and Y is given in the following...
The joint probability distribution of two random variables X and Y is given in the following table X Y → ↓ 0 1 2 3 f(x) 2 1/12 1/12 1/12 1/12 3 1/12 1/6 1/12 0 4 1/12 1/12 0 1/6 f(y) a) Find the marginal density of X and the marginal density of Y. (add them to the above table) b) Are X and Y independent? c) Compute the P{Y>1| X>2} d) Compute the expected value of X. e)...
MARIGINAL AND JOINT DISTRIBUTIONS The joint distribution of X and Y is as follows. Values of...
MARIGINAL AND JOINT DISTRIBUTIONS The joint distribution of X and Y is as follows. Values of Y 1 0 P{X=x} Values of X 1 0.1 0.2 0.3 0 0.3 0.4 0.7 P{Y=y} 0.4 0.6 1.0 a. Find the marginal distribution of X and Y. b. Find the conditional distribution of X given y = 1 c. Compute the conditional expectation of Y given X=1, E{Y=y|X=1}
Consider joint Probability distribution of two random variables X and Y given as following f(x,y)   X...
Consider joint Probability distribution of two random variables X and Y given as following f(x,y)   X        2   4   6 Y   1   0.1   0.15   0.06    3   0.17   0.1   0.18    5   0.04   0.07   0.13 (a)   Find expected value of g(X,Y) = XY2 (b)   Find Covariance of Cov(x,y)
X and Y are continuous random variables. Their joint probability distribution function is : f(x,y) =...
X and Y are continuous random variables. Their joint probability distribution function is : f(x,y) = 1/5(y+2) , 0 < y < 1, y-1 < x < y +1 = 0, otherwise a) Find marginal density of Y, fy(y) b) Calculate E[X | Y = 0]
Consider a joint probability function for discrete random variables X and Y. To get the marginal...
Consider a joint probability function for discrete random variables X and Y. To get the marginal probability function for X: Select one: a. We set x equal to 1. b. For each value y, we sum the joint probability function over all the values of x. c. We set y equal to 1. d. For each value x, we sum the joint probability function over all the values of y.
The probability distribution of a couple of random variables (X, Y) is given by : X/Y...
The probability distribution of a couple of random variables (X, Y) is given by : X/Y 0 1 2 -1 a 2a a 0 0 a a 1 3a 0 a 1) Find "a" 2) Find the marginal distribution of X and Y 3) Are variables X and Y independent? 4) Calculate V(2X+3Y) and Cov(2X,5Y)
If the joint probability distribution of X and Y is given by: f (x, y) =...
If the joint probability distribution of X and Y is given by: f (x, y) = 3k (x + y), for x = 0, 1, 2, 3; y = 0, 1, 2. a) .- Find the constant k. b) .- Using the table of the joint distribution and the marginal distributions, determine if variable X and variable Y are independent.
The random variable X can take on the values 1, 2 and 3 and the random...
The random variable X can take on the values 1, 2 and 3 and the random variable Y can take on the values 1, 3, and 4. The joint probability distribution of X and Y is given in the following table: Y 1 3 4 X 1 0.1 0.15 0.1 2 0.1 0.1 0.1 3 0.1 0.2                         a. What value should go in the blank cell? b. Describe in words and notation the event that has probability 0.2 in...
a) The joint probability density function of the random variables X, Y is given as f(x,y)...
a) The joint probability density function of the random variables X, Y is given as f(x,y) = 8xy    if  0≤y≤x≤1 , and 0 elsewhere. Find the marginal probability density functions. b) Find the expected values EX and EY for the density function above c) find Cov  X,Y .
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT