Suppose that X and Y have the following joint probability distribution: f(x, y) 4 0.15 0.10 3 0.20 0.30 5 0.10 0.15 Determine whether the two random variables are dependent or independent.

Q: P(x, y) 1 0.010 0.015 0.025 1. 0.020 0.030 0.050 0.050 0.075 0.125 3 0.060 0.090 0.150 4 0.040 0.060…

A:

Q: Let X and Y be two random variables joint probability distribution as below X Y -2 -1 0 1 2 0 0 0 .2…

A: To determine the relationship between X and Y based on their joint probability distribution, we can…

Q: (a) Find E(5X - 9Y). E(5X – 9Y) =D (Type an integer or a (b) Find E(XY). E(XY) = int

A: Since , the joint probability distribution of  X and Y is given. Our aim is to find the  (a)…

Q: Please show work. X and Y are two discrete random variables having the joint probability…

A: Cov(X,Y)=E(XY)-E(X)E(Y)corr(X,Y)=Cov(X,Y)V(X)V(Y)

Q: The joint probability distribution of two random variables X, Y is given in the table below. Y=-3…

A: Required probability is P(X≤-3 , Y≤0)

Q: The joint probability distribution of two random variables X, Y is given in the table below. Y=-3…

A: P(X≤-1, Y=3)=? P(X>3)=? P(X=-4)=?

Q: The following table gives the probability distribution of a discrete random variable x. 1 2 3 4 5 6…

A: Given data is x 0 1 2 3 4 5 6 P(x) 0.13 0.18 0.29 0.15 0.13 0.09 0.03

Q: 16. A study of freely forming groups in cafes throughout Europe examined the number of individuals…

A: Given the probability distribution of number of individuals in laughing group X is given below: X…