Question

Let x and Y be two discrete random variables, where x Takes values 3 and 4...

Let x and Y be two discrete random variables, where x Takes values 3 and 4 and Y takes the values 2 and 5. Let furthermore the following probabilities be given:
P(X=3 ∩ Y=2)= P(3,2)=0.3,

P(X=3 ∩ Y=5)= P(3,5)=0.1,

P(X=4 ∩ Y=2)= P(4,2)=0.4 and

P(X=4∩ Y=5)= P(4,5)=0.2.
Compute the correlation between X and 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
Let x and Y be two discrete random variables, where x Takes values 3 and 4...
Let x and Y be two discrete random variables, where x Takes values 3 and 4 and Y takes the values 2 and 5. Let furthermore the following probabilities be given: P(X=3 ∩ Y=2)= P(3,2)=0.3, P(X=3 ∩ Y=5)= P(3,5)=0.1, P(X=4 ∩ Y=2)= P(4,2)=0.4 and P(X=4∩ Y=5)= P(4,5)=0.2. Compute the correlation between X and Y.
Let X and Y be independent discrete random variables with pmf’s: x 1 2 3 y...
Let X and Y be independent discrete random variables with pmf’s: x 1 2 3 y 2 4 6 p(x) 0.2 0.2 0.6 p(y) 0.3 0.1 0.6 What is the probability that X + Y = 7
1. Given a discrete random variable, X , where the discrete probability distribution for X is...
1. Given a discrete random variable, X , where the discrete probability distribution for X is given on right, calculate E(X) X P(X) 0 0.1 1 0.1 2 0.1 3 0.4 4 0.1 5 0.2 2. Given a discrete random variable, X , where the discrete probability distribution for X is given on right, calculate the variance of X X P(X) 0 0.1 1 0.1 2 0.1 3 0.4 4 0.1 5 0.2 3. Given a discrete random variable, X...
Consider two random variables X and Y . X can take the values 0, 1 and...
Consider two random variables X and Y . X can take the values 0, 1 and 2 andY cantakethevalues0and1. Youaretoldthat: P(X=0)=0.4,P(X=1)=0.2, P(Y =0|X=0)=0.4,P(Y =0|X=1)=0.2,P(Y =0|X=2)=0.3. Calculate P(Y =1),E(Y),Cov(X,Y),P(X=0|Y =0),P(Y =1|X+Y ≤2)
. Let X and Y be two discrete random variables. The range of X is {0,...
. Let X and Y be two discrete random variables. The range of X is {0, 1, 2}, while the range of Y is {1, 2, 3}. Their joint probability mass function P(X,Y) is given in the table below: X\Y        1             2              3 0              0              .25          0 1              .25          0             .25 2              0             .25          0 Compute E[X], V[X], E[Y], V[Y], and Cov(X, Y).
Problems 1. Two independent random variables X and Y have the probability distributions as follows: X...
Problems 1. Two independent random variables X and Y have the probability distributions as follows: X 1 2 5 P (X) 0.2 0.5 0.3 Y 2 4 P (Y) 0.7 0.3 a) Let T = X + Y. Find all possible values of T. Compute μ and . T σ T b) Let U = X - Y. Find all possible values of U. Compute μ U and σ U . c) Show that μ T = μ X +...
Let X and Y be discrete random variables, their joint pmf is given as ?(x,y)= ?(?...
Let X and Y be discrete random variables, their joint pmf is given as ?(x,y)= ?(? + ? − 2)/(B + 1) for 1 < X ≤ 4, 1 < Y ≤ 4 Where B is the last digit of your registration number ( B=3) a) Find the value of ? b) Find the marginal pmf of ? and ? c) Find conditional pmf of ? given ? = 3
Let X and Y be discrete random variables, their joint pmf is given as Px,y =...
Let X and Y be discrete random variables, their joint pmf is given as Px,y = ?(? + ? + 2)/(B + 2) for 0 ≤ X < 3, 0 ≤ Y < 3 Where B=2. a) Find the value of ? b) Find the marginal pmf of ? and ? c) Find conditional pmf of ? given ? = 2
Let X, Y be two random variables with a joint pmf f(x,y)=(x+y)/12 x=1,2 and y=1,2 zero...
Let X, Y be two random variables with a joint pmf f(x,y)=(x+y)/12 x=1,2 and y=1,2 zero elsewhere a)Are X and Y discrete or continuous random variables? b)Construct and joint probability distribution table by writing these probabilities in a rectangular array, recording each marginal pmf in the "margins" c)Determine if X and Y are Independent variables d)Find P(X>Y) e)Compute E(X), E(Y), E(X^2) and E(XY) f)Compute var(X) g) Compute cov(X,Y)
Three tables listed below show random variables and their probabilities. However, only one of these is...
Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. A B C X P(X) X P(X) X P(X) 5 0.3 5 0.1 5 0.5 10 0.3 10 0.2 10 0.3 15 0.2 15 0.3 15 −0.2 20 0.4 20 0.4 20 0.4 b. Using the correct probability distribution, find the probability that x is: (Round the final answers to 1 decimal place.) 1. Exactly 15 =    2. No...