If x and y are independent random variable with E(xy)= 20 then the correlation coefficient is

Q: If the variance of a Poisson variate is 3. Find the probability that, ne (1) x= 0 (ii) 1sx<4 ca eor…

A: Given that, The variance of a Poisson variate is 3

Q: Find the PSD of a stationary random process for which Auto correlation is RYx (t) 6 e- alt|

A:

Q: Let X and Y be independent random variables with means ux, μy and variances o, oy. Find an…

A: Given:  Random variable x and y are independent with means ux, uy  , varience σ2(x) and σ2(y)  E(x)=…

Q: If the probability density function of the random variable X is x>0, f(x)= 0, Otherwise. Then the…

A: Given data :  f(x)=e-x , x&gt;0 0 , otherwise Finding Mean ,…

Q: If y1, y2,..., ym be a random sample taken from a normal distribution with parameters x and n× n,…

A: Note: Hi there! Thank you for posting the question. In your question, the parameters of the normal…

Q: Suppose X is a random variable taking values in the interval [0,2] with probability density function…

A:

Q: Stock A has a beta of 1.2 and Stock B has a beta of 1. The returns of Stock A are ______ sensitive…

A: The relative Beta sensitivity of one stock can be measured in terms of other as follows.…

Q: For a certain data set the regression equation is ý-29-5x. The correlation coefficient between y and…

A: Coefficient of correlation

Q: If the random variable X and Y have the joint probability distribution f(x, y) = x+y, 0<x< 1,0 <y<1…

A:

Q: Consider the model Y = B1 + B2X + e, which we estimate using a random sample with 12 observations.…

A:

Q: 4. X and Y are two random variables with variances ožand of respectively and r is the coefficient of…

A: Introduction :  Definition : correlation coefficient: Let X and Y are two quantitative variables.…

Q: Let X is continuous uniform (1,7) and Y is exponential with mean 2. If the correlation coefficient…

A:

Q: 1. Suppose that X1 and X2 are random variables with zero mean and unit variance. If the correlation…

A: Hi, thanks for the question. Since there are multiple questions posted in the question, we will…

Q: If X and Y are independent random variables with variances σ2 X = 5 and σ2 Y = 3, find the variance…

A: Given:VX=5 and VY=3

Q: 2 Example 10-6. X and Y are two random variables with variances o²x and oy respectively and r is the…

A: It is given that X and Y are two random variables with variance σ2x and σ2Y and r is correlation…

Q: Two stocks, X and Y, have expected returns ux = 9% and uy = 7% and with standard deviations ox =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If X-N(0, 1), then Y = 2X + 1 is distributed: Normal with mean 1 and variance 0 O Normal with mean 3…

A: Given that  X~ Normal( Mean = 0 , Variance = 1 )

Q: Let X and Y be independent random variables with means x,y and variances o, oy. Find an expression…

A:

Q: .3 Arandom variable X has a variance of 9 and a statistically independent random variable Y has a…

A: Solution

Q: 1. What is the correlation coefficient? 2. What is the least square regression line? 3. What is the…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Show that the correlation coefficient between the residuals X2.13 is equal and opposite to that…

A:

Q: Suppose that X ~ U (0, a) where a is a constant. Let Y = X². Calculate the %3D correlation…

A: We have given a uniform distribution and we have to find the correlation coefficient between the…

Q: A random sample of nonindustrialized countries was selected, and the life expectancy in years is…

A: Given :  r = -0.003 α = 0.05 n = 6 Hypothesis : H0 : ρ = 0 H0 : ρ ≠ 0 Test statistic, t = r×n-21-r2…

Q: 13. Find the correlation coefficient between X and Y if the joint pdf of X and Y is given by

A:

Q: If the random variables X and Y are orthogonal, then their correlation is zero. Rxy =0

A:

Q: Find out the regression coeticients of Y on X and X on Y from the following data: ΣΧ= 50 , X= 5, Σ Υ…

A:

Q: The Pearson's correlation coefficient O A. varies between 0 and ±1 B. is negative if the variables…

A: Pearson's correlation is measure of strength of linear relationship between two variables

Q: If you have 4 highly correlated variables the maximum number of principal components which can be…

A: Given: Number of variables = 4

Q: Q1) Test a correlation relationship by using Pearson Superman coefficients. 2 2 2 1 1 1 y 3 X 4 2 2…

A:

Q: If x and y are two independent random variables, show that +y:x-y={:+}-{:*+), where r+y:x-y denotes…

A:

Q: Suppose W = (aX + 3Y) 2 where Y, X are two random variables with zero mean and variances 20x = 4,…

A: As, X~N(0,4) and Y~N(0,16) E[x] = 0 Var[x] = 4 E(x)2 - [E(x)]2 = 4 E(x)2 - 0 = 4 E(x)2 = 4 Now, E[y]…

Q: * Two regression lines of a sample are X+ 6Y= 6 and 3X+ 2Y = 0. Find the correlation coefficient.

A:

Q: Suppose X and Y are random variables with E[Y]X] = -x +3 and E[X|Y] = ÷y+5, then the correlation…

A: Suppose X and Y are random variables with E(Y|X)⇒byx=-x+3E(X|Y)⇒bxy=14y+5   The required calculation…

Q: Two Gaussian random variables X and Y have variances o =9 and o = 4 respectively, It is known that a…

A:

Q: Then the value of the variance of X+Y is:

A: Variance of X + Y can be calculated as V(X + Y) = V(X) + V(Y) + 2Cov(X, Y)

Q: If the variance of a Poisson variate is 3. Find the probability that, ne (1) x =0 (ii) 1Sx<4 eor…

A: GivenThe variance of a poisson variate is 3in poisson distribution the parameter of mean and…

Q: sion model are totally unrelated, _______. the coefficient of determination would be 0 the MSE…

A: Correlation is defined as the linear relationship between the two variables. The range of the…

Q: Show that the serial correlation coefficient p is equal to -1, if n = 2, provided the denominator is…

A: Solution:

Q: Calculate the correlation coefficient from the following results : N=10,sigmax= 350,Sigma Y= 310…

A:

Q: Example 11. Find the mean values of two random variables x and y and the correlation pefficient…

A:

Q: If the RVSX1, X2, ..., Xn all have the same variance s and he correlation oxil ficient between each…

A:

Q: 13-20. If V(X) = V(Y) = and V(X - Y) = the correlation coefficient between random %3D variable X and…

A:

Q: In a simple linear regression model, B1 has important relationships with a sample correlation…

A: 1. Consider, the regression equation is, Y=β0+β1X+ε By minimizing the least squares equation,…

Q: There are two random variables X and Y, and their correlation coefficient pX,Y = 0.7. Now, we have…

A:

Q: X is a random variable with the probability distribution f(X)= :X= 0,1,2. Then the mean of X is…

A: Given function is: f(X)=X2;X=0,1,2

Q: We have the following information about the random variables X and Y: 0.5, дY – 1,o = 1, o = 2.25.…

A:

Q: Suppose that for a stochastic variable X~B(n;p) with the parameters n = 10 and p = 30% a) BY HAND…

A: Given that X follows binomial distribution with parameters n=10 and p=0.3 a) We know that for a…

Q: If pdf of a random variable is given by fx(x) = e* for x20 find M, (v), m, and m,.

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.