b. Let X and Y be discrete random variables with joint probability function, f as follows, Y = 0 Y = 1 Y = 2 X = 1 X = 2 Given that the Cov(X,Y) = -1/18, find and interpret the correlation between X and Y.

Q: the probability density function f(x) = the mean μ = the standard deviation o =

A: From the provided information,X is a random variable best described by a uniform probability that…

Q: From a sack of fruit containing 3​ oranges, 2​ apples, and 3 ​bananas, a random sample of 5 pieces…

A: To determine the correlation coefficient between X and Y, first, we need to calculate the covariance…

Q: Let X be a Gaussian random variable with zero mean and variance equal to 2. 1-Find the probability…

A: It is given that, X be a Gaussian random variable with zero mean and variance equal to 2. That is,…

Q: Let X1, X2, X3, X4 be independent random variables of size 4 from a gamma distribution G(a, X) = -1…

A: We want to find the variance of Xi

Q: Question B) If the joint pdf of the continuous random variables X and Y is: fxy(x, y) = XY for 0<x<2…

A:

Q: Let X and Y be dependent random variables. Which statements are always true? Select one or more:…

A: # Let X and Y be dependent random variables. Which statements are always true?

Q: A continuous random variable Y is uniformly distributed between -1 and 3. Random variable Z is…

A:

Q: X and Y are two discrete random variables, the following table summarizes their joint probability…

A: For a :  P(Y=1)=P(Y=1∩X=0)+P(Y=1∩X=1)0.216=a+0.096a=0.120 For b :…

Q: Let X and Y be random variables. Suppose Var(X) = 1.6, Var(Y) = 1.2, an

A: Given information: Var(X)=1.6 Var(Y)=1.2 Cov(X,Y)=0.6 Let  Z = -1.2X + 1.9Y + 4.2.

Q: Consider the discrete random variable x with probability distribution p(x). Denote the mean and…

A:

Q: 4. Determine the values of c so that the following functions represent joint probability…

A: f(x,y)=c  ,  for x=-2,0,2  ; y=-2 , 3

Q: Assume that a joint probability distribution function is given by: p(x,y) X 0 5 10 Find: •E(x), E…

A: The joint probability distribution function is given by, P(x,y) y 0 5 10 15 x 0 0 0.1 0 0.1…

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: wo discrete independent random variables X and Y are such that X can take values 2,3,5 and Y can…

A: It is given that Two variables X and Y are independent then P(X = x, Y = y) = P(X = x).P(Y = y)

Q: A noisy resistor presents a voltage X distributed as a Gaussian random variable with zero mean and…

A: X : voltage of a noisy resistor    Therefore,  X ~ N(mean : μ = 0, standard deviation : σ = 2 =…

Q: the joint density: fX,Y(x,y) = 2−x−y,    for 0<x<1, 0<y<1                   0,…

A: Dear students as per guidelines we answer the first three subparts only.

Q: 4. Determine the values of c so that the following functions represent joint probability…

A: The question is about joint probability distribution.Given :